22131200 has 240 divisors, whose sum is σ = 71037120. Its totient is φ = 6635520.

The previous prime is 22131199. The next prime is 22131211. The reversal of 22131200 is 213122.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1164791 + ... + 1164809.

It is an arithmetic number, because the mean of its divisors is an integer number (295988).

Almost surely, 2^22131200 is an apocalyptic number.

22131200 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 22131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35518560).

22131200 is an abundant number, since it is smaller than the sum of its proper divisors (48905920).

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

22131200 is a wasteful number, since it uses less digits than its factorization.

22131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 22131200 is about 4704.3809369565. The cubic root of 22131200 is about 280.7598409031.

Adding to 22131200 its reverse (213122), we get a palindrome (22344322).

The spelling of 22131200 in words is "twenty-two million, one hundred thirty-one thousand, two hundred".