221303568 has 80 divisors (see below), whose sum is σ = 590587200. Its totient is φ = 71362560.

The previous prime is 221303561. The next prime is 221303581. The reversal of 221303568 is 865303122.

It is not an unprimeable number, because it can be changed into a prime (221303561) 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 15 ways as a sum of consecutive naturals, for example, 273148 + ... + 273956.

It is an arithmetic number, because the mean of its divisors is an integer number (7382340).

Almost surely, 2^221303568 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 221303568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295293600).

221303568 is an abundant number, since it is smaller than the sum of its proper divisors (369283632).

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

221303568 is a wasteful number, since it uses less digits than its factorization.

221303568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 221303568 is about 14876.2753402860. The cubic root of 221303568 is about 604.8710587403.

The spelling of 221303568 in words is "two hundred twenty-one million, three hundred three thousand, five hundred sixty-eight".