332210220320 has 384 divisors, whose sum is σ = 907643584512. Its totient is φ = 113784422400.

The previous prime is 332210220317. The next prime is 332210220323. The reversal of 332210220320 is 23022012233.

It is an interprime number because it is at equal distance from previous prime (332210220317) and next prime (332210220323).

It is a super-2 number, since 2×332210220320² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 332210220292 and 332210220301.

It is not an unprimeable number, because it can be changed into a prime (332210220323) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 905204777 + ... + 905205143.

It is an arithmetic number, because the mean of its divisors is an integer number (2363655168).

Almost surely, 2^332210220320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332210220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453821792256).

332210220320 is an abundant number, since it is smaller than the sum of its proper divisors (575433364192).

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

332210220320 is a wasteful number, since it uses less digits than its factorization.

332210220320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 332210220320 its reverse (23022012233), we get a palindrome (355232232553).

The spelling of 332210220320 in words is "three hundred thirty-two billion, two hundred ten million, two hundred twenty thousand, three hundred twenty".