220133320 has 64 divisors (see below), whose sum is σ = 541857600. Its totient is φ = 79822080.

The previous prime is 220133279. The next prime is 220133369. The reversal of 220133320 is 23331022.

220133320 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 = 220133294 and 220133303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 297511 + ... + 298249.

It is an arithmetic number, because the mean of its divisors is an integer number (8466525).

Almost surely, 2^220133320 is an apocalyptic number.

220133320 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 220133320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270928800).

220133320 is an abundant number, since it is smaller than the sum of its proper divisors (321724280).

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

220133320 is a wasteful number, since it uses less digits than its factorization.

220133320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438 (or 1434 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 220133320 is about 14836.8905098070. The cubic root of 220133320 is about 603.8029926323.

Adding to 220133320 its reverse (23331022), we get a palindrome (243464342).

The spelling of 220133320 in words is "two hundred twenty million, one hundred thirty-three thousand, three hundred twenty".