22905216 has 96 divisors (see below), whose sum is σ = 67228200. Its totient is φ = 7483392.

The previous prime is 22905209. The next prime is 22905221. The reversal of 22905216 is 61250922.

22905216 = 73³ + 74³ + ... + 104³.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 22905216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67800 + ... + 68136.

Almost surely, 2^22905216 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 22905216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33614100).

22905216 is an abundant number, since it is smaller than the sum of its proper divisors (44322984).

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

22905216 is a wasteful number, since it uses less digits than its factorization.

22905216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 401 counting only the distinct ones).

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

The square root of 22905216 is about 4785.9394062190. The cubic root of 22905216 is about 283.9955034665.

The spelling of 22905216 in words is "twenty-two million, nine hundred five thousand, two hundred sixteen".