22730624 has 64 divisors (see below), whose sum is σ = 54051840. Its totient is φ = 9309696.

The previous prime is 22730623. The next prime is 22730627. The reversal of 22730624 is 42603722.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 22730593 and 22730602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22730623) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20057 + ... + 21159.

It is an arithmetic number, because the mean of its divisors is an integer number (844560).

Almost surely, 2^22730624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22730624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27025920).

22730624 is an abundant number, since it is smaller than the sum of its proper divisors (31321216).

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

22730624 is a wasteful number, since it uses less digits than its factorization.

22730624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 26.

The square root of 22730624 is about 4767.6644177207. The cubic root of 22730624 is about 283.2720894925.

The spelling of 22730624 in words is "twenty-two million, seven hundred thirty thousand, six hundred twenty-four".