205314330 has 128 divisors (see below), whose sum is σ = 566673408. Its totient is φ = 47215872.

The previous prime is 205314313. The next prime is 205314337. The reversal of 205314330 is 33413502.

205314330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 205314297 and 205314306.

It is not an unprimeable number, because it can be changed into a prime (205314337) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 421347 + ... + 421833.

It is an arithmetic number, because the mean of its divisors is an integer number (4427136).

Almost surely, 2^205314330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205314330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283336704).

205314330 is an abundant number, since it is smaller than the sum of its proper divisors (361359078).

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

205314330 is a wasteful number, since it uses less digits than its factorization.

205314330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580.

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

The square root of 205314330 is about 14328.7937384834. The cubic root of 205314330 is about 589.9380668496.

Adding to 205314330 its reverse (33413502), we get a palindrome (238727832).

The spelling of 205314330 in words is "two hundred five million, three hundred fourteen thousand, three hundred thirty".