200000200 has 48 divisors (see below), whose sum is σ = 469651860. Its totient is φ = 79200000.

The previous prime is 200000183. The next prime is 200000201. The reversal of 200000200 is 2000002.

It can be written as a sum of positive squares in 6 ways, for example, as 177475684 + 22524516 = 13322^2 + 4746^2 .

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 200000200.

It is not an unprimeable number, because it can be changed into a prime (200000201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15250 + ... + 25150.

Almost surely, 2^200000200 is an apocalyptic number.

200000200 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 200000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234825930).

200000200 is an abundant number, since it is smaller than the sum of its proper divisors (269651660).

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

200000200 is a wasteful number, since it uses less digits than its factorization.

200000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10018 (or 10009 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 4.

The square root of 200000200 is about 14142.1426947970. The cubic root of 200000200 is about 584.8037425770.

Adding to 200000200 its reverse (2000002), we get a palindrome (202000202).

Multiplying 200000200 by its reverse (2000002), we get a square (400000800000400 = 20000020²).

200000200 divided by its reverse (2000002) gives a square (100 = 10²).

The spelling of 200000200 in words is "two hundred million, two hundred", and thus it is an aban number.