22902144 has 128 divisors (see below), whose sum is σ = 66422400. Its totient is φ = 6967296.

The previous prime is 22902133. The next prime is 22902157. The reversal of 22902144 is 44120922.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 313692 + ... + 313764.

It is an arithmetic number, because the mean of its divisors is an integer number (518925).

Almost surely, 2^22902144 is an apocalyptic number.

22902144 is a gapful number since it is divisible by the number (24) 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 22902144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33211200).

22902144 is an abundant number, since it is smaller than the sum of its proper divisors (43520256).

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

22902144 is a wasteful number, since it uses less digits than its factorization.

22902144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 22902144 is about 4785.6184553305. The cubic root of 22902144 is about 283.9828066031.

The spelling of 22902144 in words is "twenty-two million, nine hundred two thousand, one hundred forty-four".