22053168 has 80 divisors (see below), whose sum is σ = 64281600. Its totient is φ = 7237440.

The previous prime is 22053149. The next prime is 22053173. The reversal of 22053168 is 86135022.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30313 + ... + 31031.

It is an arithmetic number, because the mean of its divisors is an integer number (803520).

Almost surely, 2^22053168 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 22053168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32140800).

22053168 is an abundant number, since it is smaller than the sum of its proper divisors (42228432).

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

22053168 is a wasteful number, since it uses less digits than its factorization.

22053168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 22053168 is about 4696.0800674605. The cubic root of 22053168 is about 280.4294769660.

The spelling of 22053168 in words is "twenty-two million, fifty-three thousand, one hundred sixty-eight".