22920240 has 120 divisors (see below), whose sum is σ = 82695600. Its totient is φ = 5236224.

The previous prime is 22920217. The next prime is 22920277. The reversal of 22920240 is 4202922.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10786 + ... + 12734.

It is an arithmetic number, because the mean of its divisors is an integer number (689130).

Almost surely, 2^22920240 is an apocalyptic number.

22920240 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 22920240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41347800).

22920240 is an abundant number, since it is smaller than the sum of its proper divisors (59775360).

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

22920240 is a wasteful number, since it uses less digits than its factorization.

22920240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1979 (or 1966 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 22920240 is about 4787.5087467283. The cubic root of 22920240 is about 284.0575827166.

The spelling of 22920240 in words is "twenty-two million, nine hundred twenty thousand, two hundred forty".