22230624000 has 576 divisors, whose sum is σ = 81425111040. Its totient is φ = 5341593600.

The previous prime is 22230623977. The next prime is 22230624001. The reversal of 22230624000 is 42603222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22230624001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58655811 + ... + 58656189.

It is an arithmetic number, because the mean of its divisors is an integer number (141363040).

Almost surely, 2^22230624000 is an apocalyptic number.

22230624000 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 22230624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40712555520).

22230624000 is an abundant number, since it is smaller than the sum of its proper divisors (59194487040).

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

22230624000 is a wasteful number, since it uses less digits than its factorization.

22230624000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The spelling of 22230624000 in words is "twenty-two billion, two hundred thirty million, six hundred twenty-four thousand".