221201304 has 64 divisors (see below), whose sum is σ = 585757440. Its totient is φ = 69463680.

The previous prime is 221201261. The next prime is 221201329. The reversal of 221201304 is 403102122.

221201304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33994 + ... + 39974.

It is an arithmetic number, because the mean of its divisors is an integer number (9152460).

Almost surely, 2^221201304 is an apocalyptic number.

221201304 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 221201304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292878720).

221201304 is an abundant number, since it is smaller than the sum of its proper divisors (364556136).

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

221201304 is a wasteful number, since it uses less digits than its factorization.

221201304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6080 (or 6076 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 221201304 is about 14872.8377924322. The cubic root of 221201304 is about 604.7778744250. Note that the first 3 decimals are identical.

Adding to 221201304 its reverse (403102122), we get a palindrome (624303426).

The spelling of 221201304 in words is "two hundred twenty-one million, two hundred one thousand, three hundred four".