205314500 has 24 divisors (see below), whose sum is σ = 448407960. Its totient is φ = 82125600.

The previous prime is 205314481. The next prime is 205314521. The reversal of 205314500 is 5413502.

205314500 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 652864 + 204661636 = 808^2 + 14306^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 204815 + ... + 205814.

It is an arithmetic number, because the mean of its divisors is an integer number (18683665).

Almost surely, 2^205314500 is an apocalyptic number.

205314500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205314500 is an abundant number, since it is smaller than the sum of its proper divisors (243093460).

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

205314500 is a wasteful number, since it uses less digits than its factorization.

205314500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410648 (or 410636 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 205314500 is about 14328.7996705935. The cubic root of 205314500 is about 589.9382296722.

The spelling of 205314500 in words is "two hundred five million, three hundred fourteen thousand, five hundred".