22257456 has 80 divisors (see below), whose sum is σ = 63183456. Its totient is φ = 6709248.

The previous prime is 22257409. The next prime is 22257463. The reversal of 22257456 is 65475222.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32736 + ... + 33408.

Almost surely, 2^22257456 is an apocalyptic number.

22257456 is a gapful number since it is divisible by the number (26) 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 22257456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31591728).

22257456 is an abundant number, since it is smaller than the sum of its proper divisors (40926000).

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

22257456 is a wasteful number, since it uses less digits than its factorization.

22257456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 744 counting only the distinct ones).

The product of its digits is 33600, while the sum is 33.

The square root of 22257456 is about 4717.7808342482. The cubic root of 22257456 is about 281.2927299028.

The spelling of 22257456 in words is "twenty-two million, two hundred fifty-seven thousand, four hundred fifty-six".