22667152 has 40 divisors (see below), whose sum is σ = 46604160. Its totient is φ = 10650240.

The previous prime is 22667131. The next prime is 22667153. The reversal of 22667152 is 25176622.

It is a super-2 number, since 2×22667152² = 1027599559582208, which contains 22 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (22667153) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52377 + ... + 52807.

It is an arithmetic number, because the mean of its divisors is an integer number (1165104).

Almost surely, 2^22667152 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 22667152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23302080).

22667152 is an abundant number, since it is smaller than the sum of its proper divisors (23937008).

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

22667152 is a wasteful number, since it uses less digits than its factorization.

22667152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 625 counting only the distinct ones).

The product of its digits is 10080, while the sum is 31.

The square root of 22667152 is about 4761.0032556175. The cubic root of 22667152 is about 283.0081781652.

Subtracting from 22667152 its sum of digits (31), we obtain a 4-th power (22667121 = 69⁴).

The spelling of 22667152 in words is "twenty-two million, six hundred sixty-seven thousand, one hundred fifty-two".