221314320 has 60 divisors (see below), whose sum is σ = 743249676. Its totient is φ = 59016960.

The previous prime is 221314307. The next prime is 221314367. The reversal of 221314320 is 23413122.

221314320 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 2 ways, for example, as 39388176 + 181926144 = 6276^2 + 13488^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 221314293 and 221314302.

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 11 ways as a sum of consecutive naturals, for example, 152971 + ... + 154410.

Almost surely, 2^221314320 is an apocalyptic number.

221314320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221314320 is an abundant number, since it is smaller than the sum of its proper divisors (521935356).

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

221314320 is a wasteful number, since it uses less digits than its factorization.

221314320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307400 (or 307391 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 221314320 is about 14876.6367166776. The cubic root of 221314320 is about 604.8808544376.

Adding to 221314320 its reverse (23413122), we get a palindrome (244727442).

The spelling of 221314320 in words is "two hundred twenty-one million, three hundred fourteen thousand, three hundred twenty".