22730932224 has 864 divisors, whose sum is σ = 90421391970. Its totient is φ = 5449973760.

The previous prime is 22730932153. The next prime is 22730932247. The reversal of 22730932224 is 42223903722.

22730932224 is a `hidden beast` number, since 2 + 2 + 7 + 309 + 322 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21856665600 + 874266624 = 147840^2 + 29568^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1748533242 + ... + 1748533254.

Almost surely, 2^22730932224 is an apocalyptic number.

22730932224 is a gapful number since it is divisible by the number (24) 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 22730932224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45210695985).

22730932224 is an abundant number, since it is smaller than the sum of its proper divisors (67690459746).

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

22730932224 is a wasteful number, since it uses less digits than its factorization.

22730932224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 22730932224 in words is "twenty-two billion, seven hundred thirty million, nine hundred thirty-two thousand, two hundred twenty-four".