22816272 has 80 divisors (see below), whose sum is σ = 62763840. Its totient is φ = 7128576.

The previous prime is 22816249. The next prime is 22816289. The reversal of 22816272 is 27261822.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51283 + ... + 51725.

It is an arithmetic number, because the mean of its divisors is an integer number (784548).

Almost surely, 2^22816272 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 22816272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31381920).

22816272 is an abundant number, since it is smaller than the sum of its proper divisors (39947568).

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

22816272 is a wasteful number, since it uses less digits than its factorization.

22816272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 514 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 22816272 is about 4776.6381483215. The cubic root of 22816272 is about 283.6274291908.

The spelling of 22816272 in words is "twenty-two million, eight hundred sixteen thousand, two hundred seventy-two".