221305314 has 16 divisors (see below), whose sum is σ = 442980000. Its totient is φ = 73706880.

The previous prime is 221305291. The next prime is 221305327. The reversal of 221305314 is 413503122.

221305314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7272 + ... + 22259.

It is an arithmetic number, because the mean of its divisors is an integer number (27686250).

Almost surely, 2^221305314 is an apocalyptic number.

221305314 is an abundant number, since it is smaller than the sum of its proper divisors (221674686).

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

221305314 is a wasteful number, since it uses less digits than its factorization.

221305314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30785.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 221305314 is about 14876.3340242144. The cubic root of 221305314 is about 604.8726494694.

Adding to 221305314 its reverse (413503122), we get a palindrome (634808436).

The spelling of 221305314 in words is "two hundred twenty-one million, three hundred five thousand, three hundred fourteen".