22632220530 has 448 divisors, whose sum is σ = 68809264128. Its totient is φ = 5329981440.

The previous prime is 22632220489. The next prime is 22632220531. The reversal of 22632220530 is 3502223622.

22632220530 is a `hidden beast` number, since 2 + 2 + 632 + 2 + 20 + 5 + 3 + 0 = 666.

It is a super-2 number, since 2×22632220530² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 22632220494 and 22632220503.

It is not an unprimeable number, because it can be changed into a prime (22632220531) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 165198622 + ... + 165198758.

Almost surely, 2^22632220530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22632220530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34404632064).

22632220530 is an abundant number, since it is smaller than the sum of its proper divisors (46177043598).

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

22632220530 is a wasteful number, since it uses less digits than its factorization.

22632220530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The spelling of 22632220530 in words is "twenty-two billion, six hundred thirty-two million, two hundred twenty thousand, five hundred thirty".