22200400 has 30 divisors (see below), whose sum is σ = 53337422. Its totient is φ = 8880000.

The previous prime is 22200397. The next prime is 22200421. The reversal of 22200400 is 400222.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 3779136 + 18421264 = 1944^2 + 4292^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

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, 27351 + ... + 28150.

Almost surely, 2^22200400 is an apocalyptic number.

22200400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22200400 is an abundant number, since it is smaller than the sum of its proper divisors (31137022).

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

22200400 is a wasteful number, since it uses less digits than its factorization.

22200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55519 (or 55508 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 22200400 is about 4711.7300432007. The cubic root of 22200400 is about 281.0521637518.

Adding to 22200400 its reverse (400222), we get a palindrome (22600622).

The spelling of 22200400 in words is "twenty-two million, two hundred thousand, four hundred".