205242752 has 64 divisors (see below), whose sum is σ = 480407760. Its totient is φ = 86108160.

The previous prime is 205242727. The next prime is 205242757. The reversal of 205242752 is 257242502.

205242752 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205242757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12698 + ... + 23910.

Almost surely, 2^205242752 is an apocalyptic number.

205242752 is a gapful number since it is divisible by the number (22) 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 205242752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240203880).

205242752 is an abundant number, since it is smaller than the sum of its proper divisors (275165008).

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

205242752 is a wasteful number, since it uses less digits than its factorization.

205242752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11251 (or 11239 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 29.

The square root of 205242752 is about 14326.2958227171. The cubic root of 205242752 is about 589.8695028823.

The spelling of 205242752 in words is "two hundred five million, two hundred forty-two thousand, seven hundred fifty-two".