205233324 has 48 divisors (see below), whose sum is σ = 511348992. Its totient is φ = 63911232.

The previous prime is 205233317. The next prime is 205233359. The reversal of 205233324 is 423332502.

It is a junction number, because it is equal to n+sod(n) for n = 205233294 and 205233303.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3222 + ... + 20514.

It is an arithmetic number, because the mean of its divisors is an integer number (10653104).

Almost surely, 2^205233324 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 205233324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255674496).

205233324 is an abundant number, since it is smaller than the sum of its proper divisors (306115668).

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

205233324 is a wasteful number, since it uses less digits than its factorization.

205233324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17366 (or 17364 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 24.

The square root of 205233324 is about 14325.9667736596. The cubic root of 205233324 is about 589.8604706919.

Adding to 205233324 its reverse (423332502), we get a palindrome (628565826).

The spelling of 205233324 in words is "two hundred five million, two hundred thirty-three thousand, three hundred twenty-four".