22088100 has 144 divisors (see below), whose sum is σ = 69745536. Its totient is φ = 5376000.

The previous prime is 22088081. The next prime is 22088147. The reversal of 22088100 is 188022.

It is a super-2 number, since 2×22088100² = 975768323220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 311065 + ... + 311135.

It is an arithmetic number, because the mean of its divisors is an integer number (484344).

Almost surely, 2^22088100 is an apocalyptic number.

22088100 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 22088100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34872768).

22088100 is an abundant number, since it is smaller than the sum of its proper divisors (47657436).

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

22088100 is a wasteful number, since it uses less digits than its factorization.

22088100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 22088100 is about 4699.7978679939. The cubic root of 22088100 is about 280.5774646957.

The spelling of 22088100 in words is "twenty-two million, eighty-eight thousand, one hundred".