205235152 has 40 divisors (see below), whose sum is σ = 432434376. Its totient is φ = 93966336.

The previous prime is 205235111. The next prime is 205235161. The reversal of 205235152 is 251532502.

It is a happy number.

205235152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 103144336 + 102090816 = 10156^2 + 10104^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133 + ... + 20260.

Almost surely, 2^205235152 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 205235152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216217188).

205235152 is an abundant number, since it is smaller than the sum of its proper divisors (227199224).

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

205235152 is a wasteful number, since it uses less digits than its factorization.

205235152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20455 (or 20449 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 205235152 is about 14326.0305737493. The cubic root of 205235152 is about 589.8622219698.

Adding to 205235152 its reverse (251532502), we get a palindrome (456767654).

The spelling of 205235152 in words is "two hundred five million, two hundred thirty-five thousand, one hundred fifty-two".