205233424 has 60 divisors (see below), whose sum is σ = 439940592. Its totient is φ = 92678080.

The previous prime is 205233419. The next prime is 205233451. The reversal of 205233424 is 424332502.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 439239 + ... + 439705.

Almost surely, 2^205233424 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 205233424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219970296).

205233424 is an abundant number, since it is smaller than the sum of its proper divisors (234707168).

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

205233424 is a wasteful number, since it uses less digits than its factorization.

205233424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

The square root of 205233424 is about 14325.9702638251. The cubic root of 205233424 is about 589.8605664952.

Adding to 205233424 its reverse (424332502), we get a palindrome (629565926).

The spelling of 205233424 in words is "two hundred five million, two hundred thirty-three thousand, four hundred twenty-four".