220032424000 has 56 divisors (see below), whose sum is σ = 544910317848. Its totient is φ = 88012966400.

The previous prime is 220032423979. The next prime is 220032424097. The reversal of 220032424000 is 424230022.

It can be written as a sum of positive squares in 4 ways, for example, as 31405510656 + 188626913344 = 177216^2 + 434312^2 .

It is a super-2 number, since 2×220032424000² (a number of 23 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 13744027 + ... + 13760026.

Almost surely, 2^220032424000 is an apocalyptic number.

220032424000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220032424000 is an abundant number, since it is smaller than the sum of its proper divisors (324877893848).

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

220032424000 is an equidigital number, since it uses as much as digits as its factorization.

220032424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27504080 (or 27504060 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

Adding to 220032424000 its reverse (424230022), we get a palindrome (220456654022).

The spelling of 220032424000 in words is "two hundred twenty billion, thirty-two million, four hundred twenty-four thousand".