22745600 has 60 divisors (see below), whose sum is σ = 56385714. Its totient is φ = 9093120.

The previous prime is 22745587. The next prime is 22745633. The reversal of 22745600 is 654722.

22745600 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in 3 ways, for example, as 16908544 + 5837056 = 4112^2 + 2416^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 22745600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11912 + ... + 13688.

Almost surely, 2^22745600 is an apocalyptic number.

22745600 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 22745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28192857).

22745600 is an abundant number, since it is smaller than the sum of its proper divisors (33640114).

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

22745600 is an equidigital number, since it uses as much as digits as its factorization.

22745600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1805 (or 1784 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 22745600 is about 4769.2347394524. The cubic root of 22745600 is about 283.3342868096.

The spelling of 22745600 in words is "twenty-two million, seven hundred forty-five thousand, six hundred".