22257600 has 84 divisors (see below), whose sum is σ = 73039224. Its totient is φ = 5934080.

The previous prime is 22257589. The next prime is 22257611. The reversal of 22257600 is 675222.

It is an interprime number because it is at equal distance from previous prime (22257589) and next prime (22257611).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 2482 + ... + 7118.

Almost surely, 2^22257600 is an apocalyptic number.

22257600 is a gapful number since it is divisible by the number (20) 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 22257600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36519612).

22257600 is an abundant number, since it is smaller than the sum of its proper divisors (50781624).

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

22257600 is a wasteful number, since it uses less digits than its factorization.

22257600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4662 (or 4647 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 22257600 is about 4717.7960956362. The cubic root of 22257600 is about 281.2933365320.

The spelling of 22257600 in words is "twenty-two million, two hundred fifty-seven thousand, six hundred".