215168

215168 is a natural number that follows 215167 and precedes 215169. It is an even, composite integer with several notable mathematical properties.

Its prime factorization is 215168 = 2^7 × 41^2, since 215168 divided by 128 equals 1681, and 1681 equals 41 squared. From this factorization, the number of divisors can be determined as (7 + 1) × (2 + 1) = 24, so 215168 has 24 positive divisors.

The number is not a perfect square, because the prime factorization contains a prime with an odd exponent (the exponent of 2 is 7). However, it is a highly structured composite number due to the square factor 41^2 combined with a power of two.

215168 is an abundant number. The sum of its proper divisors (i.e., the divisors excluding the number itself) is 439,365 − 215,168 = 224,197, which exceeds 215,168. This places it in the category of abundant numbers, which are integers for which the sum of proper divisors is greater than the number itself.

In base 2, 215168 is divisible by 2^7, so its binary representation ends with seven trailing zeros. In decimal notation, it ends with the digit 8, confirming its evenness.

Overall, 215168 is a richly factored, even, abundant integer with a concise prime decomposition and a clear divisor structure, illustrating common properties of composite numbers built from a square factor and a power of two.