22715168 has 48 divisors (see below), whose sum is σ = 53343360. Its totient is φ = 9309696.

The previous prime is 22715159. The next prime is 22715201. The reversal of 22715168 is 86151722.

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

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 7 ways as a sum of consecutive naturals, for example, 2948 + ... + 7356.

It is an arithmetic number, because the mean of its divisors is an integer number (1111320).

Almost surely, 2^22715168 is an apocalyptic number.

22715168 is a gapful number since it is divisible by the number (28) 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 22715168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26671680).

22715168 is an abundant number, since it is smaller than the sum of its proper divisors (30628192).

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

22715168 is a wasteful number, since it uses less digits than its factorization.

22715168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4449 (or 4441 counting only the distinct ones).

The product of its digits is 6720, while the sum is 32.

The square root of 22715168 is about 4766.0432226324. The cubic root of 22715168 is about 283.2078700187.

The spelling of 22715168 in words is "twenty-two million, seven hundred fifteen thousand, one hundred sixty-eight".