22952160 has 480 divisors, whose sum is σ = 105380352. Its totient is φ = 4561920.

The previous prime is 22952147. The next prime is 22952161. The reversal of 22952160 is 6125922.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22952161) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 997909 + ... + 997931.

Almost surely, 2^22952160 is an apocalyptic number.

22952160 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 22952160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52690176).

22952160 is an abundant number, since it is smaller than the sum of its proper divisors (82428192).

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

22952160 is a wasteful number, since it uses less digits than its factorization.

22952160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 22952160 is about 4790.8412622419. The cubic root of 22952160 is about 284.1893863418.

The spelling of 22952160 in words is "twenty-two million, nine hundred fifty-two thousand, one hundred sixty".