22331293920 has 768 divisors, whose sum is σ = 88438210560. Its totient is φ = 5225472000.

The previous prime is 22331293903. The next prime is 22331293927. The reversal of 22331293920 is 2939213322.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22331293927) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 175836897 + ... + 175837023.

It is an arithmetic number, because the mean of its divisors is an integer number (115153920).

Almost surely, 2^22331293920 is an apocalyptic number.

22331293920 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 22331293920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44219105280).

22331293920 is an abundant number, since it is smaller than the sum of its proper divisors (66106916640).

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

22331293920 is a wasteful number, since it uses less digits than its factorization.

22331293920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The spelling of 22331293920 in words is "twenty-two billion, three hundred thirty-one million, two hundred ninety-three thousand, nine hundred twenty".