221530368 has 72 divisors (see below), whose sum is σ = 599709600. Its totient is φ = 72577024.

The previous prime is 221530363. The next prime is 221530373. The reversal of 221530368 is 863035122.

It is an interprime number because it is at equal distance from previous prime (221530363) and next prime (221530373).

It is not an unprimeable number, because it can be changed into a prime (221530363) 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, 42868 + ... + 47756.

It is an arithmetic number, because the mean of its divisors is an integer number (8329300).

Almost surely, 2^221530368 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 221530368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299854800).

221530368 is an abundant number, since it is smaller than the sum of its proper divisors (378179232).

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

221530368 is an equidigital number, since it uses as much as digits as its factorization.

221530368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4967 (or 4953 counting only the distinct ones).

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

The square root of 221530368 is about 14883.8962640835. The cubic root of 221530368 is about 605.0776195292.

The spelling of 221530368 in words is "two hundred twenty-one million, five hundred thirty thousand, three hundred sixty-eight".