22008400 has 30 divisors (see below), whose sum is σ = 52876142. Its totient is φ = 8803200.

The previous prime is 22008397. The next prime is 22008407. The reversal of 22008400 is 480022.

It can be written as a sum of positive squares in 3 ways, for example, as 404496 + 21603904 = 636^2 + 4648^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22008407) 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, 27111 + ... + 27910.

Almost surely, 2^22008400 is an apocalyptic number.

22008400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22008400 is an abundant number, since it is smaller than the sum of its proper divisors (30867742).

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

22008400 is a wasteful number, since it uses less digits than its factorization.

22008400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55039 (or 55028 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 22008400 is about 4691.3111173743. The cubic root of 22008400 is about 280.2395908464.

Adding to 22008400 its reverse (480022), we get a palindrome (22488422).

The spelling of 22008400 in words is "twenty-two million, eight thousand, four hundred".