205232352 has 48 divisors (see below), whose sum is σ = 580179600. Its totient is φ = 63148032.

The previous prime is 205232317. The next prime is 205232359. The reversal of 205232352 is 253232502.

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

It is a super-3 number, since 3×205232352³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205232359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80977 + ... + 83472.

It is an arithmetic number, because the mean of its divisors is an integer number (12087075).

Almost surely, 2^205232352 is an apocalyptic number.

It is an amenable number.

205232352 is an abundant number, since it is smaller than the sum of its proper divisors (374947248).

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

205232352 is a wasteful number, since it uses less digits than its factorization.

205232352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164475 (or 164467 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 205232352 is about 14325.9328492074. The cubic root of 205232352 is about 589.8595394831.

Adding to 205232352 its reverse (253232502), we get a palindrome (458464854).

The spelling of 205232352 in words is "two hundred five million, two hundred thirty-two thousand, three hundred fifty-two".