22813272 has 64 divisors (see below), whose sum is σ = 65433600. Its totient is φ = 7356960.

The previous prime is 22813247. The next prime is 22813277. The reversal of 22813272 is 27231822.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22813277) 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, 4993 + ... + 8399.

It is an arithmetic number, because the mean of its divisors is an integer number (1022400).

Almost surely, 2^22813272 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 22813272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32716800).

22813272 is an abundant number, since it is smaller than the sum of its proper divisors (42620328).

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

22813272 is a wasteful number, since it uses less digits than its factorization.

22813272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3453 (or 3443 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 22813272 is about 4776.3241096056. The cubic root of 22813272 is about 283.6149977182.

It can be divided in two parts, 2281327 and 2, that multiplied together give a palindrome (4562654).

The spelling of 22813272 in words is "twenty-two million, eight hundred thirteen thousand, two hundred seventy-two".