22791216 has 80 divisors (see below), whose sum is σ = 69638400. Its totient is φ = 6284544.

The previous prime is 22791211. The next prime is 22791221. The reversal of 22791216 is 61219722.

It is an interprime number because it is at equal distance from previous prime (22791211) and next prime (22791221).

It is not an unprimeable number, because it can be changed into a prime (22791211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8575 + ... + 10913.

It is an arithmetic number, because the mean of its divisors is an integer number (870480).

Almost surely, 2^22791216 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 22791216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34819200).

22791216 is an abundant number, since it is smaller than the sum of its proper divisors (46847184).

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

22791216 is a wasteful number, since it uses less digits than its factorization.

22791216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2386 (or 2380 counting only the distinct ones).

The product of its digits is 3024, while the sum is 30.

The square root of 22791216 is about 4774.0146627341. The cubic root of 22791216 is about 283.5235680540.

The spelling of 22791216 in words is "twenty-two million, seven hundred ninety-one thousand, two hundred sixteen".