22958160 has 120 divisors (see below), whose sum is σ = 75831456. Its totient is φ = 5744640.

The previous prime is 22958149. The next prime is 22958161. The reversal of 22958160 is 6185922.

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

It is a super-2 number, since 2×22958160² = 1054154221171200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22958161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69195 + ... + 69525.

Almost surely, 2^22958160 is an apocalyptic number.

22958160 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 22958160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37915728).

22958160 is an abundant number, since it is smaller than the sum of its proper divisors (52873296).

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

22958160 is a wasteful number, since it uses less digits than its factorization.

22958160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 22958160 is about 4791.4674161472. The cubic root of 22958160 is about 284.2141478132.

The spelling of 22958160 in words is "twenty-two million, nine hundred fifty-eight thousand, one hundred sixty".