22905168 has 160 divisors (see below), whose sum is σ = 71995392. Its totient is φ = 6182400.

The previous prime is 22905163. The next prime is 22905199. The reversal of 22905168 is 86150922.

It is a super-2 number, since 2×22905168² = 1049293442216448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22905163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 322573 + ... + 322643.

Almost surely, 2^22905168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22905168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35997696).

22905168 is an abundant number, since it is smaller than the sum of its proper divisors (49090224).

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

22905168 is a wasteful number, since it uses less digits than its factorization.

22905168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 147 counting only the distinct ones).

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

The square root of 22905168 is about 4785.9343915269. The cubic root of 22905168 is about 283.9953050867.

The spelling of 22905168 in words is "twenty-two million, nine hundred five thousand, one hundred sixty-eight".