221345320 has 32 divisors (see below), whose sum is σ = 569174400. Its totient is φ = 75889728.

The previous prime is 221345317. The next prime is 221345323. The reversal of 221345320 is 23543122.

It is an interprime number because it is at equal distance from previous prime (221345317) and next prime (221345323).

It is a junction number, because it is equal to n+sod(n) for n = 221345291 and 221345300.

It is not an unprimeable number, because it can be changed into a prime (221345323) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 394980 + ... + 395539.

It is an arithmetic number, because the mean of its divisors is an integer number (17786700).

Almost surely, 2^221345320 is an apocalyptic number.

221345320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221345320 is an abundant number, since it is smaller than the sum of its proper divisors (347829080).

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

221345320 is a wasteful number, since it uses less digits than its factorization.

221345320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790537 (or 790533 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 221345320 is about 14877.6785823595. The cubic root of 221345320 is about 604.9090954646.

Adding to 221345320 its reverse (23543122), we get a palindrome (244888442).

The spelling of 221345320 in words is "two hundred twenty-one million, three hundred forty-five thousand, three hundred twenty".