220032224320 has 112 divisors (see below), whose sum is σ = 543982137840. Its totient is φ = 84670193664.

The previous prime is 220032224303. The next prime is 220032224329. The reversal of 220032224320 is 23422230022.

It can be written as a sum of positive squares in 8 ways, for example, as 64000904256 + 156031320064 = 252984^2 + 395008^2 .

It is a junction number, because it is equal to n+sod(n) for n = 220032224291 and 220032224300.

It is not an unprimeable number, because it can be changed into a prime (220032224329) 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 15 ways as a sum of consecutive naturals, for example, 2527762 + ... + 2613358.

Almost surely, 2^220032224320 is an apocalyptic number.

220032224320 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 220032224320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271991068920).

220032224320 is an abundant number, since it is smaller than the sum of its proper divisors (323949913520).

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

220032224320 is a wasteful number, since it uses less digits than its factorization.

220032224320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85920 (or 85910 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

Adding to 220032224320 its reverse (23422230022), we get a palindrome (243454454342).

The spelling of 220032224320 in words is "two hundred twenty billion, thirty-two million, two hundred twenty-four thousand, three hundred twenty".