200222222202200 has 768 divisors, whose sum is σ = 563349723310080. Its totient is φ = 65343283200000.

The previous prime is 200222222202187. The next prime is 200222222202229. The reversal of 200222222202200 is 2202222222002.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22024219655 + ... + 22024228745.

It is an arithmetic number, because the mean of its divisors is an integer number (733528285560).

Almost surely, 2^{200222222202200} is an apocalyptic number.

200222222202200 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 200222222202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281674861655040).

200222222202200 is an abundant number, since it is smaller than the sum of its proper divisors (363127501107880).

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

200222222202200 is a wasteful number, since it uses less digits than its factorization.

200222222202200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9500 (or 9491 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 200222222202200 its reverse (2202222222002), we get a palindrome (202424444424202).

It can be divided in two parts, 20022 and 2222202200, that added together give a palindrome (2222222222).

The spelling of 200222222202200 in words is "two hundred trillion, two hundred twenty-two billion, two hundred twenty-two million, two hundred two thousand, two hundred".