221560164 has 96 divisors (see below), whose sum is σ = 669984000. Its totient is φ = 63292320.

The previous prime is 221560147. The next prime is 221560177. The reversal of 221560164 is 461065122.

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 31 ways as a sum of consecutive naturals, for example, 34054 + ... + 40034.

It is an arithmetic number, because the mean of its divisors is an integer number (6979000).

Almost surely, 2^221560164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221560164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334992000).

221560164 is an abundant number, since it is smaller than the sum of its proper divisors (448423836).

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

221560164 is a wasteful number, since it uses less digits than its factorization.

221560164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6015 (or 5993 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 221560164 is about 14884.8971780123. The cubic root of 221560164 is about 605.1047461104.

The spelling of 221560164 in words is "two hundred twenty-one million, five hundred sixty thousand, one hundred sixty-four".