22464800 has 36 divisors (see below), whose sum is σ = 54844146. Its totient is φ = 8985600.

The previous prime is 22464787. The next prime is 22464811. The reversal of 22464800 is 846422.

It can be written as a sum of positive squares in 3 ways, for example, as 13868176 + 8596624 = 3724^2 + 2932^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 22464800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13241 + ... + 14840.

Almost surely, 2^22464800 is an apocalyptic number.

22464800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22464800 is an abundant number, since it is smaller than the sum of its proper divisors (32379346).

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

22464800 is a wasteful number, since it uses less digits than its factorization.

22464800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28101 (or 28088 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 22464800 is about 4739.7046321475. The cubic root of 22464800 is about 282.1635119663.

The spelling of 22464800 in words is "twenty-two million, four hundred sixty-four thousand, eight hundred".