220052342304 has 120 divisors (see below), whose sum is σ = 656033702940. Its totient is φ = 72345913344.

The previous prime is 220052342297. The next prime is 220052342317. The reversal of 220052342304 is 403243250022.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 205981637904 + 14070704400 = 453852^2 + 118620^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 392269 + ... + 770700.

Almost surely, 2^220052342304 is an apocalyptic number.

220052342304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

220052342304 is an abundant number, since it is smaller than the sum of its proper divisors (435981360636).

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

220052342304 is a wasteful number, since it uses less digits than its factorization.

220052342304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163064 (or 1163047 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 220052342304 its reverse (403243250022), we get a palindrome (623295592326).

The spelling of 220052342304 in words is "two hundred twenty billion, fifty-two million, three hundred forty-two thousand, three hundred four".