22304800 has 108 divisors (see below), whose sum is σ = 63452970. Its totient is φ = 7633920.

The previous prime is 22304783. The next prime is 22304809. The reversal of 22304800 is 840322.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 12645136 + 9659664 = 3556^2 + 3108^2 .

It is not an unprimeable number, because it can be changed into a prime (22304809) 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, 38916 + ... + 39484.

Almost surely, 2^22304800 is an apocalyptic number.

22304800 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 22304800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31726485).

22304800 is an abundant number, since it is smaller than the sum of its proper divisors (41148170).

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

22304800 is a wasteful number, since it uses less digits than its factorization.

22304800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 22304800 is about 4722.7957821612. The cubic root of 22304800 is about 281.4920352734.

It can be divided in two parts, 22304 and 800, that added together give a square (23104 = 152²).

The spelling of 22304800 in words is "twenty-two million, three hundred four thousand, eight hundred".