22915200 has 384 divisors, whose sum is σ = 97136640. Its totient is φ = 4608000.

The previous prime is 22915181. The next prime is 22915219. The reversal of 22915200 is 251922.

It is an interprime number because it is at equal distance from previous prime (22915181) and next prime (22915219).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 739185 + ... + 739215.

It is an arithmetic number, because the mean of its divisors is an integer number (252960).

Almost surely, 2^22915200 is an apocalyptic number.

22915200 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 22915200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48568320).

22915200 is an abundant number, since it is smaller than the sum of its proper divisors (74221440).

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

22915200 is a wasteful number, since it uses less digits than its factorization.

22915200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 22915200 is about 4786.9823479934. The cubic root of 22915200 is about 284.0367604337.

Subtracting from 22915200 its reverse (251922), we obtain a triangular number (22663278 = T₆₇₃₂).

The spelling of 22915200 in words is "twenty-two million, nine hundred fifteen thousand, two hundred".