220020000200 has 768 divisors, whose sum is σ = 713954304000. Its totient is φ = 60856012800.

The previous prime is 220020000199. The next prime is 220020000259. The reversal of 220020000200 is 2000020022.

220020000200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 630429626 + ... + 630429974.

It is an arithmetic number, because the mean of its divisors is an integer number (929628000).

Almost surely, 2^220020000200 is an apocalyptic number.

220020000200 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 220020000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356977152000).

220020000200 is an abundant number, since it is smaller than the sum of its proper divisors (493934303800).

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

220020000200 is a wasteful number, since it uses less digits than its factorization.

220020000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

Adding to 220020000200 its reverse (2000020022), we get a palindrome (222020020222).

The spelling of 220020000200 in words is "two hundred twenty billion, twenty million, two hundred", and thus it is an aban number.