22624282000 has 80 divisors (see below), whose sum is σ = 54824919552. Its totient is φ = 9029961600.

The previous prime is 22624281971. The next prime is 22624282003. The reversal of 22624282000 is 28242622.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 22624282000.

It is not an unprimeable number, because it can be changed into a prime (22624282003) 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, 921889 + ... + 946111.

Almost surely, 2^22624282000 is an apocalyptic number.

22624282000 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 22624282000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27412459776).

22624282000 is an abundant number, since it is smaller than the sum of its proper divisors (32200637552).

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

22624282000 is a wasteful number, since it uses less digits than its factorization.

22624282000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24713 (or 24697 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The spelling of 22624282000 in words is "twenty-two billion, six hundred twenty-four million, two hundred eighty-two thousand".