222029792160 has 576 divisors, whose sum is σ = 800625917952. Its totient is φ = 51625728000.

The previous prime is 222029792143. The next prime is 222029792161. The reversal of 222029792160 is 61297920222.

It is a super-2 number, since 2×222029792160² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (222029792161) 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, 228660475 + ... + 228661445.

It is an arithmetic number, because the mean of its divisors is an integer number (1389975552).

Almost surely, 2^222029792160 is an apocalyptic number.

222029792160 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 222029792160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400312958976).

222029792160 is an abundant number, since it is smaller than the sum of its proper divisors (578596125792).

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

222029792160 is a wasteful number, since it uses less digits than its factorization.

222029792160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 222029792160 in words is "two hundred twenty-two billion, twenty-nine million, seven hundred ninety-two thousand, one hundred sixty".