221345304 has 64 divisors (see below), whose sum is σ = 591222240. Its totient is φ = 68812800.

The previous prime is 221345297. The next prime is 221345317. The reversal of 221345304 is 403543122.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43704 + ... + 48504.

Almost surely, 2^221345304 is an apocalyptic number.

221345304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221345304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295611120).

221345304 is an abundant number, since it is smaller than the sum of its proper divisors (369876936).

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

221345304 is a wasteful number, since it uses less digits than its factorization.

221345304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4940 (or 4936 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 221345304 is about 14877.6780446412. The cubic root of 221345304 is about 604.9090808892.

Adding to 221345304 its reverse (403543122), we get a palindrome (624888426).

The spelling of 221345304 in words is "two hundred twenty-one million, three hundred forty-five thousand, three hundred four".