221314304 has 18 divisors (see below), whose sum is σ = 441764610. Its totient is φ = 110657024.

The previous prime is 221314277. The next prime is 221314307. The reversal of 221314304 is 403413122.

221314304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 186267904 + 35046400 = 13648^2 + 5920^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221314307) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 431999 + ... + 432510.

Almost surely, 2^221314304 is an apocalyptic number.

It is an amenable number.

221314304 is a deficient number, since it is larger than the sum of its proper divisors (220450306).

221314304 is an frugal number, since it uses more digits than its factorization.

221314304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864525 (or 864511 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 221314304 is about 14876.6361789216. The cubic root of 221314304 is about 604.8808398609.

Adding to 221314304 its reverse (403413122), we get a palindrome (624727426).

The spelling of 221314304 in words is "two hundred twenty-one million, three hundred fourteen thousand, three hundred four".