22715200 has 42 divisors (see below), whose sum is σ = 55897526. Its totient is φ = 9085440.

The previous prime is 22715159. The next prime is 22715201. The reversal of 22715200 is 251722.

It can be written as a sum of positive squares in 3 ways, for example, as 7096896 + 15618304 = 2664^2 + 3952^2 .

It is a super-2 number, since 2×22715200² = 1031960622080000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22715201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5499 + ... + 8698.

Almost surely, 2^22715200 is an apocalyptic number.

22715200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22715200 is an abundant number, since it is smaller than the sum of its proper divisors (33182326).

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

22715200 is a wasteful number, since it uses less digits than its factorization.

22715200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14219 (or 14204 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 22715200 is about 4766.0465797136. The cubic root of 22715200 is about 283.2080030083.

Adding to 22715200 its reverse (251722), we get a palindrome (22966922).

The spelling of 22715200 in words is "twenty-two million, seven hundred fifteen thousand, two hundred".