221130320 has 20 divisors (see below), whose sum is σ = 514128180. Its totient is φ = 88452096.

The previous prime is 221130319. The next prime is 221130337. The reversal of 221130320 is 23031122.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 144672784 + 76457536 = 12028^2 + 8744^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 221130295 and 221130304.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 1381985 + ... + 1382144.

It is an arithmetic number, because the mean of its divisors is an integer number (25706409).

Almost surely, 2^221130320 is an apocalyptic number.

221130320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221130320 is an abundant number, since it is smaller than the sum of its proper divisors (292997860).

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

221130320 is a wasteful number, since it uses less digits than its factorization.

221130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2764142 (or 2764136 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 221130320 is about 14870.4512372692. The cubic root of 221130320 is about 604.7131759735.

Adding to 221130320 its reverse (23031122), we get a palindrome (244161442).

The spelling of 221130320 in words is "two hundred twenty-one million, one hundred thirty thousand, three hundred twenty".