22153524224 has 88 divisors (see below), whose sum is σ = 48167105448. Its totient is φ = 10122854400.

The previous prime is 22153524181. The next prime is 22153524247. The reversal of 22153524224 is 42242535122.

It can be written as a sum of positive squares in 4 ways, for example, as 3448038400 + 18705485824 = 58720^2 + 136768^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1336274 + ... + 1352750.

It is an arithmetic number, because the mean of its divisors is an integer number (547353471).

Almost surely, 2^22153524224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22153524224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24083552724).

22153524224 is an abundant number, since it is smaller than the sum of its proper divisors (26013581224).

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

22153524224 is a wasteful number, since it uses less digits than its factorization.

22153524224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16611 (or 16593 counting only the distinct ones).

The product of its digits is 38400, while the sum is 32.

The spelling of 22153524224 in words is "twenty-two billion, one hundred fifty-three million, five hundred twenty-four thousand, two hundred twenty-four".