221002314 has 48 divisors (see below), whose sum is σ = 485913312. Its totient is φ = 66965184.

The previous prime is 221002307. The next prime is 221002361. The reversal of 221002314 is 413200122.

221002314 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 221002293 and 221002302.

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 23 ways as a sum of consecutive naturals, for example, 66312 + ... + 69564.

It is an arithmetic number, because the mean of its divisors is an integer number (10123194).

Almost surely, 2^221002314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221002314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242956656).

221002314 is an abundant number, since it is smaller than the sum of its proper divisors (264910998).

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

221002314 is a wasteful number, since it uses less digits than its factorization.

221002314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3351 (or 3338 counting only the distinct ones).

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

The square root of 221002314 is about 14866.1465753570. The cubic root of 221002314 is about 604.5964697467.

Adding to 221002314 its reverse (413200122), we get a palindrome (634202436).

The spelling of 221002314 in words is "two hundred twenty-one million, two thousand, three hundred fourteen".