205233060 has 96 divisors (see below), whose sum is σ = 614154240. Its totient is φ = 51055488.

The previous prime is 205233059. The next prime is 205233089. The reversal of 205233060 is 60332502.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75037 + ... + 77723.

It is an arithmetic number, because the mean of its divisors is an integer number (6397440).

Almost surely, 2^205233060 is an apocalyptic number.

205233060 is a gapful number since it is divisible by the number (20) 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 205233060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307077120).

205233060 is an abundant number, since it is smaller than the sum of its proper divisors (408921180).

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

205233060 is a wasteful number, since it uses less digits than its factorization.

205233060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2785 (or 2783 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 205233060 is about 14325.9575596188. The cubic root of 205233060 is about 589.8602177713.

Adding to 205233060 its reverse (60332502), we get a palindrome (265565562).

The spelling of 205233060 in words is "two hundred five million, two hundred thirty-three thousand, sixty".