220414330000 has 50 divisors (see below), whose sum is σ = 533645158574. Its totient is φ = 88165728000.

The previous prime is 220414329983. The next prime is 220414330013. The reversal of 220414330000 is 33414022.

It can be written as a sum of positive squares in 5 ways, for example, as 21616056576 + 198798273424 = 147024^2 + 445868^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a self number, because there is not a number n which added to its sum of digits gives 220414330000.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 11010717 + ... + 11030716.

Almost surely, 2^220414330000 is an apocalyptic number.

220414330000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220414330000 is an abundant number, since it is smaller than the sum of its proper divisors (313230828574).

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

220414330000 is an equidigital number, since it uses as much as digits as its factorization.

220414330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22041461 (or 22041440 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 220414330000 its reverse (33414022), we get a palindrome (220447744022).

The spelling of 220414330000 in words is "two hundred twenty billion, four hundred fourteen million, three hundred thirty thousand".