22975200 has 108 divisors (see below), whose sum is σ = 81041688. Its totient is φ = 6124800.

The previous prime is 22975181. The next prime is 22975207. The reversal of 22975200 is 257922.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22975207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5605 + ... + 8795.

It is an arithmetic number, because the mean of its divisors is an integer number (750386).

Almost surely, 2^22975200 is an apocalyptic number.

22975200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22975200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40520844).

22975200 is an abundant number, since it is smaller than the sum of its proper divisors (58066488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22975200 is a wasteful number, since it uses less digits than its factorization.

22975200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3217 (or 3201 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 22975200 is about 4793.2452472203. The cubic root of 22975200 is about 284.2844468758.

The spelling of 22975200 in words is "twenty-two million, nine hundred seventy-five thousand, two hundred".