205229304 has 144 divisors (see below), whose sum is σ = 675277200. Its totient is φ = 55148544.

The previous prime is 205229291. The next prime is 205229341. The reversal of 205229304 is 403922502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 144952 + ... + 146360.

It is an arithmetic number, because the mean of its divisors is an integer number (4689425).

Almost surely, 2^205229304 is an apocalyptic number.

205229304 is a gapful number since it is divisible by the number (24) 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 205229304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337638600).

205229304 is an abundant number, since it is smaller than the sum of its proper divisors (470047896).

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

205229304 is a wasteful number, since it uses less digits than its factorization.

205229304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 205229304 is about 14325.8264683054. The cubic root of 205229304 is about 589.8566193769.

The spelling of 205229304 in words is "two hundred five million, two hundred twenty-nine thousand, three hundred four".