233200 has 60 divisors (see below), whose sum is σ = 622728. Its totient is φ = 83200.

The previous prime is 233183. The next prime is 233201. The reversal of 233200 is 2332.

233200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233201) 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, 4374 + ... + 4426.

2²³³²⁰⁰ is an apocalyptic number.

233200 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 233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311364).

233200 is an abundant number, since it is smaller than the sum of its proper divisors (389528).

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

233200 is a wasteful number, since it uses less digits than its factorization.

233200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

The square root of 233200 is about 482.9078587060. The cubic root of 233200 is about 61.5520963378.

Adding to 233200 its reverse (2332), we get a palindrome (235532).

Multiplying 233200 by its reverse (2332), we get a square (543822400 = 23320²).

233200 divided by its reverse (2332) gives a square (100 = 10²).

It can be divided in two parts, 23 and 3200, that added together give a palindrome (3223).

The spelling of 233200 in words is "two hundred thirty-three thousand, two hundred".