22506

22506 is a natural number that follows 22505 and precedes 22507. In base-10 arithmetic, it is an even, composite integer.

Mathematical properties of 22506 include its prime factorization and divisibility. It factors as 2 × 3 × 11^2 × 31, which means the number is divisible by 2, 3, 11, and 31, as well as by various products of these primes. Consequently, 22506 has 24 positive divisors. The sum of its digits is 15, indicating divisibility by 3 (but not by 9). The approximate square root of 22506 is 150.02, so it is not a perfect square.

In broader number-theory terms, 22506 is an even composite with a factorization that includes a square (11^2), which influences its divisor structure and potential appearances in problems involving factorization, multiples, and modular arithmetic. Its digital properties place it in the class of numbers divisible by 3, derived from the digit sum criterion.

There are no widely recognized special names or constants uniquely associated with 22506. As a standalone integer, it is primarily of interest for its factorization and divisibility characteristics within standard arithmetic.