252200 has 48 divisors (see below), whose sum is σ = 637980. Its totient is φ = 92160.

The previous prime is 252193. The next prime is 252209. The reversal of 252200 is 2252.

252200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 42436 + 209764 = 206^2 + 458^2 .

It is not an unprimeable number, because it can be changed into a prime (252209) by changing a digit.

252200 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2552 + ... + 2648.

2²⁵²²⁰⁰ is an apocalyptic number.

252200 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 252200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318990).

252200 is an abundant number, since it is smaller than the sum of its proper divisors (385780).

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

252200 is a wasteful number, since it uses less digits than its factorization.

252200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 252200 is about 502.1951811796. The cubic root of 252200 is about 63.1803015039.

Adding to 252200 its reverse (2252), we get a palindrome (254452).

The spelling of 252200 in words is "two hundred fifty-two thousand, two hundred".