220304003200 has 48 divisors (see below), whose sum is σ = 544219740810. Its totient is φ = 88121600000.

The previous prime is 220304003191. The next prime is 220304003233. The reversal of 220304003200 is 2300403022.

It can be written as a sum of positive squares in 3 ways, for example, as 169289456704 + 51014546496 = 411448^2 + 225864^2 .

It is a super-2 number, since 2×220304003200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 34419301 + ... + 34425700.

Almost surely, 2^220304003200 is an apocalyptic number.

220304003200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220304003200 is an abundant number, since it is smaller than the sum of its proper divisors (323915737610).

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

220304003200 is an equidigital number, since it uses as much as digits as its factorization.

220304003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68845025 (or 68845008 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

Adding to 220304003200 its reverse (2300403022), we get a palindrome (222604406222).

The spelling of 220304003200 in words is "two hundred twenty billion, three hundred four million, three thousand, two hundred".