221034304314 has 48 divisors (see below), whose sum is σ = 479806629120. Its totient is φ = 73539908640.

The previous prime is 221034304307. The next prime is 221034304321. The reversal of 221034304314 is 413403430122.

221034304314 is a `hidden beast` number, since 2 + 2 + 1 + 0 + 343 + 0 + 4 + 314 = 666.

It is an interprime number because it is at equal distance from previous prime (221034304307) and next prime (221034304321).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42252079 + ... + 42257309.

It is an arithmetic number, because the mean of its divisors is an integer number (9995971440).

Almost surely, 2^221034304314 is an apocalyptic number.

221034304314 is an abundant number, since it is smaller than the sum of its proper divisors (258772324806).

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

221034304314 is a wasteful number, since it uses less digits than its factorization.

221034304314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9195 (or 9192 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 221034304314 its reverse (413403430122), we get a palindrome (634437734436).

The spelling of 221034304314 in words is "two hundred twenty-one billion, thirty-four million, three hundred four thousand, three hundred fourteen".