22152900 has 216 divisors, whose sum is σ = 81932256. Its totient is φ = 4569600.

The previous prime is 22152881. The next prime is 22152913. The reversal of 22152900 is 925122.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 161632 + ... + 161768.

It is an arithmetic number, because the mean of its divisors is an integer number (379316).

Almost surely, 2^22152900 is an apocalyptic number.

22152900 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 22152900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40966128).

22152900 is an abundant number, since it is smaller than the sum of its proper divisors (59779356).

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

22152900 is a wasteful number, since it uses less digits than its factorization.

22152900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 22152900 is about 4706.6867327240. The cubic root of 22152900 is about 280.8515741179.

It can be divided in two parts, 2215 and 2900, that added together give a palindrome (5115).

The spelling of 22152900 in words is "twenty-two million, one hundred fifty-two thousand, nine hundred".