203232 has 48 divisors (see below), whose sum is σ = 559440. Its totient is φ = 64512.

The previous prime is 203227. The next prime is 203233. The reversal of 203232 is 232302.

203232 = T₂₀₈ + T₂₀₉ + ... + T₂₁₆.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an Ulam number.

It is a nialpdrome in base 12.

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 203232.

It is not an unprimeable number, because it can be changed into a prime (203233) by changing a digit.

203232 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 7 ways as a sum of consecutive naturals, for example, 2748 + ... + 2820.

It is an arithmetic number, because the mean of its divisors is an integer number (11655).

2²⁰³²³² 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 203232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279720).

203232 is an abundant number, since it is smaller than the sum of its proper divisors (356208).

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

203232 is a wasteful number, since it uses less digits than its factorization.

203232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 203232 is about 450.8125996465. The cubic root of 203232 is about 58.7936871375.

Adding to 203232 its reverse (232302), we get a palindrome (435534).

It can be divided in two parts, 203 and 232, that added together give a triangular number (435 = T₂₉).

The spelling of 203232 in words is "two hundred three thousand, two hundred thirty-two".