221652160 has 28 divisors (see below), whose sum is σ = 527809968. Its totient is φ = 88660736.

The previous prime is 221652121. The next prime is 221652169. The reversal of 221652160 is 61256122.

It is not an unprimeable number, because it can be changed into a prime (221652169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 346012 + ... + 346651.

It is an arithmetic number, because the mean of its divisors is an integer number (18850356).

Almost surely, 2^221652160 is an apocalyptic number.

221652160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221652160 is an abundant number, since it is smaller than the sum of its proper divisors (306157808).

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

221652160 is an equidigital number, since it uses as much as digits as its factorization.

221652160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692680 (or 692670 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 221652160 is about 14887.9871037021. The cubic root of 221652160 is about 605.1884848600.

The spelling of 221652160 in words is "two hundred twenty-one million, six hundred fifty-two thousand, one hundred sixty".