22138100 has 36 divisors (see below), whose sum is σ = 48957804. Its totient is φ = 8686080.

The previous prime is 22138093. The next prime is 22138133. The reversal of 22138100 is 183122.

It can be written as a sum of positive squares in 6 ways, for example, as 1106704 + 21031396 = 1052^2 + 4586^2 .

It is a super-2 number, since 2×22138100² = 980190943220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3212 + ... + 7388.

It is an arithmetic number, because the mean of its divisors is an integer number (1359939).

Almost surely, 2^22138100 is an apocalyptic number.

22138100 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 22138100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24478902).

22138100 is an abundant number, since it is smaller than the sum of its proper divisors (26819704).

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

22138100 is a wasteful number, since it uses less digits than its factorization.

22138100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4244 (or 4237 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 22138100 is about 4705.1142387832. The cubic root of 22138100 is about 280.7890160285.

The spelling of 22138100 in words is "twenty-two million, one hundred thirty-eight thousand, one hundred".