No, 23 is not a triangular number.
Here are a few examples of triangular numbers:
21, 28, 55, 45, 78 and 91.
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28 is a triangle number. The 28th triangle number is 406.
The third triangle number is 6.
The fifth triangle number, known as T5 is 15.
A triangular number or triangle number counts the objects that can form an equilateral triangle. 10 objects can be formed into an equilateral triangle.
The Nth term for a triangle number is: 0.5n(n+1)