22001332320 has 384 divisors, whose sum is σ = 85201320960. Its totient is φ = 5257728000.

The previous prime is 22001332271. The next prime is 22001332373. The reversal of 22001332320 is 2323310022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22001332293 and 22001332302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3370660 + ... + 3377180.

It is an arithmetic number, because the mean of its divisors is an integer number (221878440).

Almost surely, 2^22001332320 is an apocalyptic number.

22001332320 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 22001332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42600660480).

22001332320 is an abundant number, since it is smaller than the sum of its proper divisors (63199988640).

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

22001332320 is a wasteful number, since it uses less digits than its factorization.

22001332320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6627 (or 6613 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 22001332320 its reverse (2323310022), we get a palindrome (24324642342).

The spelling of 22001332320 in words is "twenty-two billion, one million, three hundred thirty-two thousand, three hundred twenty".