22455200 has 36 divisors (see below), whose sum is σ = 54820710. Its totient is φ = 8981760.

The previous prime is 22455161. The next prime is 22455217. The reversal of 22455200 is 255422.

It can be written as a sum of positive squares in 3 ways, for example, as 12138256 + 10316944 = 3484^2 + 3212^2 .

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

It is an unprimeable number.

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, 13235 + ... + 14834.

Almost surely, 2^22455200 is an apocalyptic number.

22455200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22455200 is an abundant number, since it is smaller than the sum of its proper divisors (32365510).

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

22455200 is a wasteful number, since it uses less digits than its factorization.

22455200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28089 (or 28076 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 22455200 is about 4738.6918025970. The cubic root of 22455200 is about 282.1233134386.

The spelling of 22455200 in words is "twenty-two million, four hundred fifty-five thousand, two hundred".