22138400 has 36 divisors (see below), whose sum is σ = 54047322. Its totient is φ = 8855040.

The previous prime is 22138381. The next prime is 22138409. The reversal of 22138400 is 483122.

It can be written as a sum of positive squares in 3 ways, for example, as 8976016 + 13162384 = 2996^2 + 3628^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (22138409) 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, 13037 + ... + 14636.

Almost surely, 2^22138400 is an apocalyptic number.

22138400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22138400 is an abundant number, since it is smaller than the sum of its proper divisors (31908922).

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

22138400 is a wasteful number, since it uses less digits than its factorization.

22138400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27693 (or 27680 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 22138400 is about 4705.1461188788. The cubic root of 22138400 is about 280.7902843747.

The spelling of 22138400 in words is "twenty-two million, one hundred thirty-eight thousand, four hundred".