200288 has 24 divisors (see below), whose sum is σ = 430920. Its totient is φ = 90880.

The previous prime is 200273. The next prime is 200293. The reversal of 200288 is 882002.

It is an Ulam number.

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 200288.

It is an unprimeable number.

200288 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 68 + ... + 636.

It is an arithmetic number, because the mean of its divisors is an integer number (17955).

2²⁰⁰²⁸⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215460).

200288 is an abundant number, since it is smaller than the sum of its proper divisors (230632).

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

200288 is a wasteful number, since it uses less digits than its factorization.

200288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 200288 is about 447.5354734543. The cubic root of 200288 is about 58.5084118714.

It can be divided in two parts, 200 and 288, that multiplied together give a square (57600 = 240²).

The spelling of 200288 in words is "two hundred thousand, two hundred eighty-eight".