205231320 has 160 divisors (see below), whose sum is σ = 788436000. Its totient is φ = 46904832.

The previous prime is 205231309. The next prime is 205231337. The reversal of 205231320 is 23132502.

205231320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 205231293 and 205231302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18156 + ... + 27204.

It is an arithmetic number, because the mean of its divisors is an integer number (4927725).

Almost surely, 2^205231320 is an apocalyptic number.

205231320 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 205231320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394218000).

205231320 is an abundant number, since it is smaller than the sum of its proper divisors (583204680).

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

205231320 is a wasteful number, since it uses less digits than its factorization.

205231320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9079 (or 9066 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 205231320 is about 14325.8968305653. The cubic root of 205231320 is about 589.8585507889.

Adding to 205231320 its reverse (23132502), we get a palindrome (228363822).

The spelling of 205231320 in words is "two hundred five million, two hundred thirty-one thousand, three hundred twenty".