218357 (number)
218,357 (two hundred eighteen thousand three hundred fiftyseven) is an odd sixdigits prime number following 218356 and preceding 218358. In scientific notation, it is written as 2.18357 × 10^{5}. The sum of its digits is 26. It has a total of 1 prime factor and 2 positive divisors. There are 218,356 positive integers (up to 218357) that are relatively prime to 218357.
Basic properties
 Is Prime? Yes
 Number parity Odd
 Number length 6
 Sum of Digits 26
 Digital Root 8
Name
Short name  218 thousand 357 

Full name  two hundred eighteen thousand three hundred fiftyseven 
Notation
Scientific notation  2.18357 × 10^{5} 

Engineering notation  218.357 × 10^{3} 
Prime Factorization of 218357
Prime Factorization 218357
Prime numberω(n)  Distinct Factors  1  Total number of distinct prime factors 

Ω(n)  Total Factors  1  Total number of prime factors 
rad(n)  Radical  218357  Product of the distinct prime numbers 
λ(n)  Liouville Lambda  1  Returns the parity of Ω(n), such that λ(n) = (1)^{Ω(n)} 
μ(n)  Mobius Mu  1  Returns:

Λ(n)  Mangoldt function  12.293886617021  Returns log(p) if n is a power p^{k} of any prime p (for any k >= 1), else returns 0 
The prime factorization of 218,357 is 218357. Since it has a total of 1 prime factor, 218,357 is a prime number.
Divisors of 218357
2 divisors
τ(n)  Total Divisors  2  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  218358  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  1  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  109179  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  467.28684980427  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  1.9999908407294  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 218,357 can be divided by 2 positive divisors (out of which 0 are even, and 2 are odd). The sum of these divisors (counting 218,357) is 218,358, the average is 109,179.
Other Arithmetic Functions (n = 218357)
φ(n)  Euler Totient  218356  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  218356  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 19429  Total number of primes less than or equal to n 
r_{2}(n)  Sum of 2 squares  8  The number of ways n can be represented as the sum of 2 squares 
There are 218,356 positive integers (less than 218,357) that are coprime with 218,357. And there are approximately 19,429 prime numbers less than or equal to 218,357.
Divisibility of 218357
m  2  3  4  5  6  7  8  9 

n mod m  1  2  1  2  5  6  5  8 
218,357 is not divisible by any number less than or equal to 9.
Classification of 218357
By Arithmetic functions
 Arithmetic
 Prime
 Deficient
Expressible via specific sums
 Polite
By Powers
 Prime Power
 Square Free
Base conversion (218357)
Base  System  Value 

2  Binary  110101010011110101 
3  Ternary  102002112022 
4  Quaternary  311103311 
5  Quinary  23441412 
6  Senary  4402525 
8  Octal  652365 
10  Decimal  218357 
12  Duodecimal  a6445 
16  Hexadecimal  354f5 
20  Vigesimal  175hh 
36  Base36  4ohh 
Basic calculations (n = 218357)
Multiplication
n×yn×2  436714 

n×3  655071 
n×4  873428 
n×5  1091785 
Division
n÷yn÷2  109178.500 

n÷3  72785.666 
n÷4  54589.250 
n÷5  43671.400 
Exponentiation
n^{y}n^{2}  47679779449 

n^{3}  10411213601145293 
n^{4}  2273361368305282743601 
n^{5}  496404368299036624044483557 
Nth Root
^{y}√n^{2}√n  467.28684980427 

^{3}√n  60.217451701307 
^{4}√n  21.616818679081 
^{5}√n  11.690509086273 
218357 as geometric shapes
Circle
Radius = nDiameter  436714 

Circumference  1371977.4941198 
Area  149790444841.76 
Sphere
Radius = nVolume  4.3610389552416E+16 

Surface area  599161779367.04 
Circumference  1371977.4941198 
Square
Length = nPerimeter  873428 

Area  47679779449 
Diagonal  308803.4308391 
Cube
Length = nSurface area  286078676694 

Volume  10411213601145293 
Space diagonal  378205.41818832 
Equilateral Triangle
Length = nPerimeter  655071 

Area  20645950124.837 
Altitude  189102.70909416 
Triangular Pyramid
Length = nSurface area  82583800499.346 

Volume  1.2269732896252E+15 
Height  178287.74392164 
Cryptographic Hash Functions
md5  9bdbd106b7445e53241aa6acf53883a0 

sha1  0cbb8af14abed1c77cc63c5373ae6d4eb51a5fc9 
sha256  00c78c94d2eb7dfe1f13d708b8c4c42e2e675684aeea715b41934e594fd6fb67 
sha512  7282dbd1027cdf3f3f59fb0a735d98cd7fb92d63eb10e70ebdfb5bc6da7f2b619e472e9c518ed21886f34f53c2d90921813208e978e8e31fca2ebf9e279b9020 
ripemd160  ca753d3ad2f84a751b14d2a5acb810bff6d05255 