22530800 has 120 divisors (see below), whose sum is σ = 59043840. Its totient is φ = 8236800.

The previous prime is 22530757. The next prime is 22530803. The reversal of 22530800 is 803522.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22530803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 285161 + ... + 285239.

It is an arithmetic number, because the mean of its divisors is an integer number (492032).

Almost surely, 2^22530800 is an apocalyptic number.

22530800 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 22530800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29521920).

22530800 is an abundant number, since it is smaller than the sum of its proper divisors (36513040).

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

22530800 is a wasteful number, since it uses less digits than its factorization.

22530800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 22530800 is about 4746.6619850164. The cubic root of 22530800 is about 282.4395673065.

The spelling of 22530800 in words is "twenty-two million, five hundred thirty thousand, eight hundred".