2000200 has 48 divisors (see below), whose sum is σ = 4748580. Its totient is φ = 783360.

The previous prime is 2000177. The next prime is 2000209. The reversal of 2000200 is 20002.

It can be written as a sum of positive squares in 6 ways, for example, as 872356 + 1127844 = 934^2 + 1062^2 .

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 2000200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000209) 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, 14532 + ... + 14668.

2^2000200 is an apocalyptic number.

2000200 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 2000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2374290).

2000200 is an abundant number, since it is smaller than the sum of its proper divisors (2748380).

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

2000200 is a wasteful number, since it uses less digits than its factorization.

2000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 217 counting only the distinct ones).

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

The square root of 2000200 is about 1414.2842712835. The cubic root of 2000200 is about 125.9963045863.

Adding to 2000200 its reverse (20002), we get a palindrome (2020202).

Multiplying 2000200 by its reverse (20002), we get a square (40008000400 = 200020²).

2000200 divided by its reverse (20002) gives a square (100 = 10²).

The spelling of 2000200 in words is "two million, two hundred", and thus it is an aban number.