205641500 has 48 divisors (see below), whose sum is σ = 451659936. Its totient is φ = 81792000.

The previous prime is 205641493. The next prime is 205641517. The reversal of 205641500 is 5146502.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 95435 + ... + 97565.

It is an arithmetic number, because the mean of its divisors is an integer number (9409582).

Almost surely, 2^205641500 is an apocalyptic number.

205641500 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 205641500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225829968).

205641500 is an abundant number, since it is smaller than the sum of its proper divisors (246018436).

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

205641500 is a wasteful number, since it uses less digits than its factorization.

205641500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2343 (or 2331 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 205641500 is about 14340.2057167950. The cubic root of 205641500 is about 590.2512575346.

The spelling of 205641500 in words is "two hundred five million, six hundred forty-one thousand, five hundred".