22126368 has 96 divisors (see below), whose sum is σ = 66189312. Its totient is φ = 6406400.

The previous prime is 22126339. The next prime is 22126397. The reversal of 22126368 is 86362122.

It is an interprime number because it is at equal distance from previous prime (22126339) and next prime (22126397).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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, 23833 + ... + 24743.

It is an arithmetic number, because the mean of its divisors is an integer number (689472).

Almost surely, 2^22126368 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 22126368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33094656).

22126368 is an abundant number, since it is smaller than the sum of its proper divisors (44062944).

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

22126368 is a wasteful number, since it uses less digits than its factorization.

22126368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 950 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 22126368 is about 4703.8673450683. The cubic root of 22126368 is about 280.7394062483.

The spelling of 22126368 in words is "twenty-two million, one hundred twenty-six thousand, three hundred sixty-eight".