22331200 has 84 divisors (see below), whose sum is σ = 58251852. Its totient is φ = 8396800.

The previous prime is 22331161. The next prime is 22331203. The reversal of 22331200 is 213322.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 278784 + 22052416 = 528^2 + 4696^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22331203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26790 + ... + 27610.

Almost surely, 2^22331200 is an apocalyptic number.

22331200 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 22331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29125926).

22331200 is an abundant number, since it is smaller than the sum of its proper divisors (35920652).

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

22331200 is a wasteful number, since it uses less digits than its factorization.

22331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 22331200 is about 4725.5899102652. The cubic root of 22331200 is about 281.6030496398.

Adding to 22331200 its reverse (213322), we get a palindrome (22544522).

The spelling of 22331200 in words is "twenty-two million, three hundred thirty-one thousand, two hundred".