30222506160 has 1200 divisors, whose sum is σ = 141317874720. Its totient is φ = 5898977280.

The previous prime is 30222506137. The next prime is 30222506179. The reversal of 30222506160 is 6160522203.

30222506160 is a `hidden beast` number, since 3 + 0 + 22 + 25 + 0 + 616 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 59375986 + ... + 59376494.

Almost surely, 2^30222506160 is an apocalyptic number.

30222506160 is a gapful number since it is divisible by the number (30) 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 30222506160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70658937360).

30222506160 is an abundant number, since it is smaller than the sum of its proper divisors (111095368560).

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

30222506160 is a wasteful number, since it uses less digits than its factorization.

30222506160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 30222506160 in words is "thirty billion, two hundred twenty-two million, five hundred six thousand, one hundred sixty".