205171140 has 24 divisors (see below), whose sum is σ = 574479360. Its totient is φ = 54712288.

The previous prime is 205171117. The next prime is 205171157. The reversal of 205171140 is 41171502.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1709700 + ... + 1709819.

It is an arithmetic number, because the mean of its divisors is an integer number (23936640).

Almost surely, 2^205171140 is an apocalyptic number.

205171140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205171140 is an abundant number, since it is smaller than the sum of its proper divisors (369308220).

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

205171140 is a wasteful number, since it uses less digits than its factorization.

205171140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3419531 (or 3419529 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 205171140 is about 14323.7962845050. The cubic root of 205171140 is about 589.8008903925.

It can be divided in two parts, 20517 and 1140, that multiplied together give a triangular number (23389380 = T₆₈₃₉).

The spelling of 205171140 in words is "two hundred five million, one hundred seventy-one thousand, one hundred forty".