205001232 has 80 divisors (see below), whose sum is σ = 580141440. Its totient is φ = 62089216.

The previous prime is 205001219. The next prime is 205001239. The reversal of 205001232 is 232100502.

205001232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (205001239) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19333 + ... + 27995.

It is an arithmetic number, because the mean of its divisors is an integer number (7251768).

Almost surely, 2^205001232 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 205001232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290070720).

205001232 is an abundant number, since it is smaller than the sum of its proper divisors (375140208).

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

205001232 is a wasteful number, since it uses less digits than its factorization.

205001232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8720 (or 8714 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 205001232 is about 14317.8640865179. The cubic root of 205001232 is about 589.6380351859.

Adding to 205001232 its reverse (232100502), we get a palindrome (437101734).

The spelling of 205001232 in words is "two hundred five million, one thousand, two hundred thirty-two".