22820633160 has 128 divisors (see below), whose sum is σ = 73981313280. Its totient is φ = 5598102528.

The previous prime is 22820633131. The next prime is 22820633177. The reversal of 22820633160 is 6133602822.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 432117 + ... + 482043.

It is an arithmetic number, because the mean of its divisors is an integer number (577979010).

Almost surely, 2^22820633160 is an apocalyptic number.

22820633160 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 22820633160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36990656640).

22820633160 is an abundant number, since it is smaller than the sum of its proper divisors (51160680120).

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

22820633160 is a wasteful number, since it uses less digits than its factorization.

22820633160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50247 (or 50243 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 22820633160 in words is "twenty-two billion, eight hundred twenty million, six hundred thirty-three thousand, one hundred sixty".