22516128 has 72 divisors (see below), whose sum is σ = 65791908. Its totient is φ = 7299072.

The previous prime is 22516127. The next prime is 22516139. The reversal of 22516128 is 82161522.

It is a happy number.

22516128 is a `hidden beast` number, since 22 + 516 + 128 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 22014864 + 501264 = 4692^2 + 708^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×22516128² = 1013952040224768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22516127) 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 11 ways as a sum of consecutive naturals, for example, 9600 + ... + 11712.

Almost surely, 2^22516128 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 22516128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32895954).

22516128 is an abundant number, since it is smaller than the sum of its proper divisors (43275780).

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

22516128 is a wasteful number, since it uses less digits than its factorization.

22516128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2166 (or 2155 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 22516128 is about 4745.1162261846. The cubic root of 22516128 is about 282.3782460164.

The spelling of 22516128 in words is "twenty-two million, five hundred sixteen thousand, one hundred twenty-eight".