The answer is 58.
56+57+58 = 171
171 is the largest palindrome less than 220 that can be divided by three.
Further palindromes are: 181, 191, 202 and 212.
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The greatest integer is 24.
50
7, 8, 9
No consecutive integers add up to 40. The closest would be 42, adding 13,14 and 15.
The value of the greatest integer is 76. This occurs when the set of five consecutive integers is all even numbers.