22533012100 has 81 divisors (see below), whose sum is σ = 52000992687. Its totient is φ = 8473409280.

The previous prime is 22533012043. The next prime is 22533012181. The reversal of 22533012100 is 121033522.

The square root of 22533012100 is 150110.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 527069764 + 22005942336 = 22958^2 + 148344^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 25518259 + ... + 25519141.

Almost surely, 2^22533012100 is an apocalyptic number.

22533012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22533012100 is the 150110-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22533012100

22533012100 is an abundant number, since it is smaller than the sum of its proper divisors (29467980587).

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

22533012100 is an equidigital number, since it uses as much as digits as its factorization.

22533012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1814 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

Adding to 22533012100 its reverse (121033522), we get a palindrome (22654045622).

The spelling of 22533012100 in words is "twenty-two billion, five hundred thirty-three million, twelve thousand, one hundred".