22493200 has 60 divisors (see below), whose sum is σ = 55111428. Its totient is φ = 8819200.

The previous prime is 22493153. The next prime is 22493209. The reversal of 22493200 is 239422.

It can be written as a sum of positive squares in 6 ways, for example, as 63504 + 22429696 = 252^2 + 4736^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22493209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20670 + ... + 21730.

Almost surely, 2^22493200 is an apocalyptic number.

22493200 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 22493200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27555714).

22493200 is an abundant number, since it is smaller than the sum of its proper divisors (32618228).

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

22493200 is a wasteful number, since it uses less digits than its factorization.

22493200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 22493200 is about 4742.6996531511. The cubic root of 22493200 is about 282.2823655988.

The spelling of 22493200 in words is "twenty-two million, four hundred ninety-three thousand, two hundred".