22082688 has 96 divisors (see below), whose sum is σ = 65835900. Its totient is φ = 7096320.

The previous prime is 22082681. The next prime is 22082689. The reversal of 22082688 is 88628022.

It can be written as a sum of positive squares in 2 ways, for example, as 21455424 + 627264 = 4632^2 + 792^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (22082681) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33078 + ... + 33738.

Almost surely, 2^22082688 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 22082688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32917950).

22082688 is an abundant number, since it is smaller than the sum of its proper divisors (43753212).

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

22082688 is a wasteful number, since it uses less digits than its factorization.

22082688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 22082688 is about 4699.2220632781. Note that the first 3 decimals coincide. The cubic root of 22082688 is about 280.5545472383.

The spelling of 22082688 in words is "twenty-two million, eighty-two thousand, six hundred eighty-eight".