22765120 has 56 divisors (see below), whose sum is σ = 61959744. Its totient is φ = 7804416.

The previous prime is 22765117. The next prime is 22765133. The reversal of 22765120 is 2156722.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×22765120² = 1036501377228800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2842 + ... + 7321.

It is an arithmetic number, because the mean of its divisors is an integer number (1106424).

Almost surely, 2^22765120 is an apocalyptic number.

22765120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22765120 is an abundant number, since it is smaller than the sum of its proper divisors (39194624).

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

22765120 is a wasteful number, since it uses less digits than its factorization.

22765120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10187 (or 10177 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 22765120 is about 4771.2807504904. The cubic root of 22765120 is about 283.4153149924.

It can be divided in two parts, 2276 and 5120, that added together give a square (7396 = 86²).

The spelling of 22765120 in words is "twenty-two million, seven hundred sixty-five thousand, one hundred twenty".