22132800 has 252 divisors, whose sum is σ = 82913220. Its totient is φ = 5591040.

The previous prime is 22132783. The next prime is 22132811. The reversal of 22132800 is 823122.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 5184 + 22127616 = 72^2 + 4704^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 417574 + ... + 417626.

Almost surely, 2^22132800 is an apocalyptic number.

22132800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41456610).

22132800 is an abundant number, since it is smaller than the sum of its proper divisors (60780420).

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

22132800 is a wasteful number, since it uses less digits than its factorization.

22132800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 22132800 is about 4704.5509881390. The cubic root of 22132800 is about 280.7666066896.

Adding to 22132800 its reverse (823122), we get a palindrome (22955922).

The spelling of 22132800 in words is "twenty-two million, one hundred thirty-two thousand, eight hundred".