22812800 has 48 divisors (see below), whose sum is σ = 56362650. Its totient is φ = 9123840.

The previous prime is 22812791. The next prime is 22812809. The reversal of 22812800 is 821822.

It is an interprime number because it is at equal distance from previous prime (22812791) and next prime (22812809).

It can be written as a sum of positive squares in 3 ways, for example, as 18181696 + 4631104 = 4264^2 + 2152^2 .

It is not an unprimeable number, because it can be changed into a prime (22812809) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 365 + ... + 6764.

Almost surely, 2^22812800 is an apocalyptic number.

22812800 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 22812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28181325).

22812800 is an abundant number, since it is smaller than the sum of its proper divisors (33549850).

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

22812800 is an equidigital number, since it uses as much as digits as its factorization.

22812800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7153 (or 7136 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 22812800 is about 4776.2746989678. The cubic root of 22812800 is about 283.6130417339.

The spelling of 22812800 in words is "twenty-two million, eight hundred twelve thousand, eight hundred".