221760160 has 48 divisors (see below), whose sum is σ = 526044456. Its totient is φ = 88342528.

The previous prime is 221760157. The next prime is 221760167. The reversal of 221760160 is 61067122.

221760160 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 216796176 + 4963984 = 14724^2 + 2228^2 .

It is not an unprimeable number, because it can be changed into a prime (221760167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38424 + ... + 43816.

Almost surely, 2^221760160 is an apocalyptic number.

221760160 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 221760160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263022228).

221760160 is an abundant number, since it is smaller than the sum of its proper divisors (304284296).

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

221760160 is a wasteful number, since it uses less digits than its factorization.

221760160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5665 (or 5657 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 221760160 is about 14891.6137473412. The cubic root of 221760160 is about 605.2867615827.

The spelling of 221760160 in words is "two hundred twenty-one million, seven hundred sixty thousand, one hundred sixty".