22892268 has 144 divisors (see below), whose sum is σ = 69318144. Its totient is φ = 5744640.

The previous prime is 22892267. The next prime is 22892279. The reversal of 22892268 is 86229822.

22892268 = 127² + 128² + ... + 413².

It is not an unprimeable number, because it can be changed into a prime (22892267) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 558328 + ... + 558368.

It is an arithmetic number, because the mean of its divisors is an integer number (481376).

Almost surely, 2^22892268 is an apocalyptic number.

22892268 is a gapful number since it is divisible by the number (28) 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 22892268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34659072).

22892268 is an abundant number, since it is smaller than the sum of its proper divisors (46425876).

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

22892268 is a wasteful number, since it uses less digits than its factorization.

22892268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 93 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 22892268 is about 4784.5865025099. The cubic root of 22892268 is about 283.9419804773.

The spelling of 22892268 in words is "twenty-two million, eight hundred ninety-two thousand, two hundred sixty-eight".