205044140 has 96 divisors (see below), whose sum is σ = 526829184. Its totient is φ = 65433600.

The previous prime is 205044139. The next prime is 205044173. The reversal of 205044140 is 41440502.

205044140 = 43² + 44² + ... + 850².

205044140 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 (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 239954 + ... + 240806.

It is an arithmetic number, because the mean of its divisors is an integer number (5487804).

Almost surely, 2^205044140 is an apocalyptic number.

205044140 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 205044140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263414592).

205044140 is an abundant number, since it is smaller than the sum of its proper divisors (321785044).

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

205044140 is a wasteful number, since it uses less digits than its factorization.

205044140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 205044140 is about 14319.3624159737. The cubic root of 205044140 is about 589.6791705872.

Adding to 205044140 its reverse (41440502), we get a palindrome (246484642).

The spelling of 205044140 in words is "two hundred five million, forty-four thousand, one hundred forty".