221132320 has 96 divisors (see below), whose sum is σ = 538090560. Its totient is φ = 85847040.

The previous prime is 221132291. The next prime is 221132341. The reversal of 221132320 is 23231122.

221132320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 221132294 and 221132303.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1356559 + ... + 1356721.

It is an arithmetic number, because the mean of its divisors is an integer number (5605110).

Almost surely, 2^221132320 is an apocalyptic number.

221132320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269045280).

221132320 is an abundant number, since it is smaller than the sum of its proper divisors (316958240).

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

221132320 is a wasteful number, since it uses less digits than its factorization.

221132320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 221132320 is about 14870.5184845721. The cubic root of 221132320 is about 604.7149990655.

Adding to 221132320 its reverse (23231122), we get a palindrome (244363442).

The spelling of 221132320 in words is "two hundred twenty-one million, one hundred thirty-two thousand, three hundred twenty".