22347260100 has 405 divisors, whose sum is σ = 80156030493. Its totient is φ = 5381640000.

The previous prime is 22347260081. The next prime is 22347260141. The reversal of 22347260100 is 106274322.

The square root of 22347260100 is 149490.

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

22347260100 is a `hidden beast` number, since 22 + 34 + 7 + 2 + 601 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8045013636 + 14302246464 = 89694^2 + 119592^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 147995025 + ... + 147995175.

Almost surely, 2^22347260100 is an apocalyptic number.

22347260100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22347260100 is the 149490-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22347260100

22347260100 is an abundant number, since it is smaller than the sum of its proper divisors (57808770393).

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

22347260100 is a wasteful number, since it uses less digits than its factorization.

22347260100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 22347260100 in words is "twenty-two billion, three hundred forty-seven million, two hundred sixty thousand, one hundred".