22982800 has 30 divisors (see below), whose sum is σ = 55217138. Its totient is φ = 9192960.

The previous prime is 22982797. The next prime is 22982807. The reversal of 22982800 is 828922.

It can be written as a sum of positive squares in 3 ways, for example, as 3055504 + 19927296 = 1748^2 + 4464^2 .

It is not an unprimeable number, because it can be changed into a prime (22982807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28329 + ... + 29128.

Almost surely, 2^22982800 is an apocalyptic number.

22982800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22982800 is an abundant number, since it is smaller than the sum of its proper divisors (32234338).

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

22982800 is a wasteful number, since it uses less digits than its factorization.

22982800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57475 (or 57464 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 22982800 is about 4794.0379639715. The cubic root of 22982800 is about 284.3157897094.

The spelling of 22982800 in words is "twenty-two million, nine hundred eighty-two thousand, eight hundred".