22165664 has 48 divisors (see below), whose sum is σ = 45514728. Its totient is φ = 10616832.

The previous prime is 22165643. The next prime is 22165669. The reversal of 22165664 is 46656122.

It can be written as a sum of positive squares in 4 ways, for example, as 19891600 + 2274064 = 4460^2 + 1508^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 22165664.

It is not an unprimeable number, because it can be changed into a prime (22165669) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114752 + ... + 114944.

Almost surely, 2^22165664 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 22165664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22757364).

22165664 is an abundant number, since it is smaller than the sum of its proper divisors (23349064).

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

22165664 is a wasteful number, since it uses less digits than its factorization.

22165664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 329 counting only the distinct ones).

The product of its digits is 17280, while the sum is 32.

The square root of 22165664 is about 4708.0424806919. The cubic root of 22165664 is about 280.9055038701.

The spelling of 22165664 in words is "twenty-two million, one hundred sixty-five thousand, six hundred sixty-four".