22138080 has 96 divisors (see below), whose sum is σ = 73864224. Its totient is φ = 5554176.

The previous prime is 22138069. The next prime is 22138087. The reversal of 22138080 is 8083122.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 22138080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22138087) 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, 6804 + ... + 9516.

It is an arithmetic number, because the mean of its divisors is an integer number (769419).

Almost surely, 2^22138080 is an apocalyptic number.

22138080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22138080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36932112).

22138080 is an abundant number, since it is smaller than the sum of its proper divisors (51726144).

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

22138080 is a wasteful number, since it uses less digits than its factorization.

22138080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2748 (or 2740 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 22138080 is about 4705.1121134358. The cubic root of 22138080 is about 280.7889314717.

The spelling of 22138080 in words is "twenty-two million, one hundred thirty-eight thousand, eighty".