22724813104 has 120 divisors (see below), whose sum is σ = 54454670928. Its totient is φ = 9128448000.

The previous prime is 22724813081. The next prime is 22724813141. The reversal of 22724813104 is 40131842722.

It is a super-2 number, since 2×22724813104² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 22724813104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3341932 + ... + 3348724.

Almost surely, 2^22724813104 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 22724813104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27227335464).

22724813104 is an abundant number, since it is smaller than the sum of its proper divisors (31729857824).

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

22724813104 is a wasteful number, since it uses less digits than its factorization.

22724813104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7083 (or 7070 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The spelling of 22724813104 in words is "twenty-two billion, seven hundred twenty-four million, eight hundred thirteen thousand, one hundred four".