22430353920 has 640 divisors, whose sum is σ = 81834762240. Its totient is φ = 5202247680.

The previous prime is 22430353919. The next prime is 22430353943. The reversal of 22430353920 is 2935303422.

It is a tau number, because it is divible by the number of its divisors (640).

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, 176616897 + ... + 176617023.

It is an arithmetic number, because the mean of its divisors is an integer number (127866816).

Almost surely, 2^22430353920 is an apocalyptic number.

22430353920 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 22430353920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40917381120).

22430353920 is an abundant number, since it is smaller than the sum of its proper divisors (59404408320).

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

22430353920 is a wasteful number, since it uses less digits than its factorization.

22430353920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 33.

The spelling of 22430353920 in words is "twenty-two billion, four hundred thirty million, three hundred fifty-three thousand, nine hundred twenty".