22801920 has 80 divisors (see below), whose sum is σ = 72919440. Its totient is φ = 6078464.

The previous prime is 22801903. The next prime is 22801937. The reversal of 22801920 is 2910822.

It is an interprime number because it is at equal distance from previous prime (22801903) and next prime (22801937).

It is a tau number, because it is divible by the number of its divisors (80).

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

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, 6196 + ... + 9164.

It is an arithmetic number, because the mean of its divisors is an integer number (911493).

Almost surely, 2^22801920 is an apocalyptic number.

22801920 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 22801920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36459720).

22801920 is an abundant number, since it is smaller than the sum of its proper divisors (50117520).

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

22801920 is an equidigital number, since it uses as much as digits as its factorization.

22801920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2995 (or 2979 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 22801920 is about 4775.1356001689. The cubic root of 22801920 is about 283.5679471587.

The spelling of 22801920 in words is "twenty-two million, eight hundred one thousand, nine hundred twenty".