220002200200 has 96 divisors (see below), whose sum is σ = 514793691720. Its totient is φ = 87436800000.

The previous prime is 220002200149. The next prime is 220002200329. The reversal of 220002200200 is 2002200022.

It can be written as a sum of positive squares in 12 ways, for example, as 66709591524 + 153292608676 = 258282^2 + 391526^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

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 23 ways as a sum of consecutive naturals, for example, 22215250 + ... + 22225150.

Almost surely, 2^220002200200 is an apocalyptic number.

220002200200 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 220002200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257396845860).

220002200200 is an abundant number, since it is smaller than the sum of its proper divisors (294791491520).

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

220002200200 is a wasteful number, since it uses less digits than its factorization.

220002200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10619 (or 10610 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

Adding to 220002200200 its reverse (2002200022), we get a palindrome (222004400222).

The spelling of 220002200200 in words is "two hundred twenty billion, two million, two hundred thousand, two hundred".