22264 has 24 divisors (see below), whose sum is σ = 47880. Its totient is φ = 9680.

The previous prime is 22259. The next prime is 22271. The reversal of 22264 is 46222.

22264 = T₃₂ + T₃₃ + ... + T₅₄.

It is a plaindrome in base 9.

It is a congruent number.

It is an unprimeable number.

22264 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 957 + ... + 979.

It is an arithmetic number, because the mean of its divisors is an integer number (1995).

22264 is a Friedman number, since it can be written as 46*22^2, using all its digits and the basic arithmetic operations.

2²²²⁶⁴ 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 22264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23940).

22264 is an abundant number, since it is smaller than the sum of its proper divisors (25616).

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

22264 is a wasteful number, since it uses less digits than its factorization.

22264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 36 counting only the distinct ones).

The product of its digits is 192, while the sum is 16.

The square root of 22264 is about 149.2112596288. The cubic root of 22264 is about 28.1320295186.

Adding to 22264 its reverse (46222), we get a palindrome (68486).

The spelling of 22264 in words is "twenty-two thousand, two hundred sixty-four".