22422816000 has 864 divisors, whose sum is σ = 89313168672. Its totient is φ = 5367398400.

The previous prime is 22422815957. The next prime is 22422816007. The reversal of 22422816000 is 61822422.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 21814108416 + 608707584 = 147696^2 + 24672^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22422816007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 198431944 + ... + 198432056.

It is an arithmetic number, because the mean of its divisors is an integer number (103371723).

Almost surely, 2^22422816000 is an apocalyptic number.

22422816000 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 22422816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44656584336).

22422816000 is an abundant number, since it is smaller than the sum of its proper divisors (66890352672).

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

22422816000 is a wasteful number, since it uses less digits than its factorization.

22422816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 22422816000 in words is "twenty-two billion, four hundred twenty-two million, eight hundred sixteen thousand".