22513920 has 288 divisors, whose sum is σ = 86534784. Its totient is φ = 4915200.

The previous prime is 22513919. The next prime is 22513951. The reversal of 22513920 is 2931522.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 549100 + ... + 549140.

It is an arithmetic number, because the mean of its divisors is an integer number (300468).

Almost surely, 2^22513920 is an apocalyptic number.

22513920 is a gapful number since it is divisible by the number (20) 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 22513920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43267392).

22513920 is an abundant number, since it is smaller than the sum of its proper divisors (64020864).

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

22513920 is a wasteful number, since it uses less digits than its factorization.

22513920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 22513920 is about 4744.8835602152. The cubic root of 22513920 is about 282.3690154248.

The spelling of 22513920 in words is "twenty-two million, five hundred thirteen thousand, nine hundred twenty".