2003200 has 54 divisors (see below), whose sum is σ = 4974074. Its totient is φ = 798720.

The previous prime is 2003191. The next prime is 2003201. The reversal of 2003200 is 23002.

It can be written as a sum of positive squares in 3 ways, for example, as 20736 + 1982464 = 144^2 + 1408^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6244 + ... + 6556.

2^2003200 is an apocalyptic number.

2003200 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 2003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2487037).

2003200 is an abundant number, since it is smaller than the sum of its proper divisors (2970874).

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

2003200 is an equidigital number, since it uses as much as digits as its factorization.

2003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 7.

The square root of 2003200 is about 1415.3444810363. The cubic root of 2003200 is about 126.0592649729.

Adding to 2003200 its reverse (23002), we get a palindrome (2026202).

It can be divided in two parts, 200 and 3200, that multiplied together give a square (640000 = 800²).

The spelling of 2003200 in words is "two million, three thousand, two hundred".