220232233320 has 256 divisors, whose sum is σ = 728587872000. Its totient is φ = 52812840960.

The previous prime is 220232233253. The next prime is 220232233391. The reversal of 220232233320 is 23332232022.

220232233320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×220232233320² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50544582 + ... + 50548938.

It is an arithmetic number, because the mean of its divisors is an integer number (2846046375).

Almost surely, 2^220232233320 is an apocalyptic number.

220232233320 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 220232233320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364293936000).

220232233320 is an abundant number, since it is smaller than the sum of its proper divisors (508355638680).

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

220232233320 is a wasteful number, since it uses less digits than its factorization.

220232233320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4788 (or 4784 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

Adding to 220232233320 its reverse (23332232022), we get a palindrome (243564465342).

The spelling of 220232233320 in words is "two hundred twenty billion, two hundred thirty-two million, two hundred thirty-three thousand, three hundred twenty".