22816400 has 30 divisors (see below), whose sum is σ = 54817362. Its totient is φ = 9126400.

The previous prime is 22816393. The next prime is 22816441. The reversal of 22816400 is 461822.

It can be written as a sum of positive squares in 3 ways, for example, as 839056 + 21977344 = 916^2 + 4688^2 .

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, 28121 + ... + 28920.

Almost surely, 2^22816400 is an apocalyptic number.

22816400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22816400 is an abundant number, since it is smaller than the sum of its proper divisors (32000962).

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

22816400 is a wasteful number, since it uses less digits than its factorization.

22816400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57059 (or 57048 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 22816400 is about 4776.6515468474. The cubic root of 22816400 is about 283.6279595761.

The spelling of 22816400 in words is "twenty-two million, eight hundred sixteen thousand, four hundred".