221288160 has 48 divisors (see below), whose sum is σ = 697059216. Its totient is φ = 59010048.

The previous prime is 221288153. The next prime is 221288189. The reversal of 221288160 is 61882122.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 230029 + ... + 230988.

It is an arithmetic number, because the mean of its divisors is an integer number (14522067).

Almost surely, 2^221288160 is an apocalyptic number.

221288160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221288160 is an abundant number, since it is smaller than the sum of its proper divisors (475771056).

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

221288160 is a wasteful number, since it uses less digits than its factorization.

221288160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461035 (or 461027 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 221288160 is about 14875.7574597060. The cubic root of 221288160 is about 604.8570206030.

The spelling of 221288160 in words is "two hundred twenty-one million, two hundred eighty-eight thousand, one hundred sixty".