221160160 has 72 divisors (see below), whose sum is σ = 565843320. Its totient is φ = 81649152.

The previous prime is 221160139. The next prime is 221160167. The reversal of 221160160 is 61061122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221160167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22951 + ... + 31129.

It is an arithmetic number, because the mean of its divisors is an integer number (7858935).

Almost surely, 2^221160160 is an apocalyptic number.

221160160 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 221160160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282921660).

221160160 is an abundant number, since it is smaller than the sum of its proper divisors (344683160).

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

221160160 is a wasteful number, since it uses less digits than its factorization.

221160160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8220 (or 8199 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 221160160 is about 14871.4545354515. The cubic root of 221160160 is about 604.7403753637.

The spelling of 221160160 in words is "two hundred twenty-one million, one hundred sixty thousand, one hundred sixty".