205242336 has 120 divisors (see below), whose sum is σ = 650150424. Its totient is φ = 63141120.

The previous prime is 205242329. The next prime is 205242337. The reversal of 205242336 is 633242502.

205242336 is a `hidden beast` number, since 205 + 2 + 423 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205242337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 30651 + ... + 36741.

Almost surely, 2^205242336 is an apocalyptic number.

205242336 is a gapful number since it is divisible by the number (26) 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 205242336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325075212).

205242336 is an abundant number, since it is smaller than the sum of its proper divisors (444908088).

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

205242336 is a wasteful number, since it uses less digits than its factorization.

205242336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6126 (or 6109 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 205242336 is about 14326.2813039532. The cubic root of 205242336 is about 589.8691043528.

Adding to 205242336 its reverse (633242502), we get a palindrome (838484838).

The spelling of 205242336 in words is "two hundred five million, two hundred forty-two thousand, three hundred thirty-six".