22264800 has 72 divisors (see below), whose sum is σ = 72479736. Its totient is φ = 5936640.

The previous prime is 22264757. The next prime is 22264813. The reversal of 22264800 is 846222.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2239 + ... + 7038.

It is an arithmetic number, because the mean of its divisors is an integer number (1006663).

Almost surely, 2^22264800 is an apocalyptic number.

22264800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22264800 is an abundant number, since it is smaller than the sum of its proper divisors (50214936).

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

22264800 is a wasteful number, since it uses less digits than its factorization.

22264800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9300 (or 9287 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 22264800 is about 4718.5591020989. The cubic root of 22264800 is about 281.3236646548.

The spelling of 22264800 in words is "twenty-two million, two hundred sixty-four thousand, eight hundred".