22257792 has 72 divisors (see below), whose sum is σ = 64513215. Its totient is φ = 7365888.

The previous prime is 22257779. The next prime is 22257881. The reversal of 22257792 is 29775222.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 11128896 + 11128896 = 3336^2 + 3336^2 .

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

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=3336.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (35280) is a multiple of the sum of its prime divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 160059 + ... + 160197.

Almost surely, 2^22257792 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 22257792

22257792 is an abundant number, since it is smaller than the sum of its proper divisors (42255423).

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

22257792 is an equidigital number, since it uses as much as digits as its factorization.

22257792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 144 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 22257792 is about 4717.8164440766. The cubic root of 22257792 is about 281.2941453668.

The spelling of 22257792 in words is "twenty-two million, two hundred fifty-seven thousand, seven hundred ninety-two".