22530720 has 96 divisors (see below), whose sum is σ = 72055872. Its totient is φ = 5916672.

The previous prime is 22530701. The next prime is 22530727. The reversal of 22530720 is 2703522.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (22530727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34719 + ... + 35361.

It is an arithmetic number, because the mean of its divisors is an integer number (750582).

Almost surely, 2^22530720 is an apocalyptic number.

22530720 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 22530720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36027936).

22530720 is an abundant number, since it is smaller than the sum of its proper divisors (49525152).

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

22530720 is a wasteful number, since it uses less digits than its factorization.

22530720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 22530720 is about 4746.6535580343. The cubic root of 22530720 is about 282.4392330205.

The spelling of 22530720 in words is "twenty-two million, five hundred thirty thousand, seven hundred twenty".