205000000 has 112 divisors (see below), whose sum is σ = 520897104. Its totient is φ = 80000000.

The previous prime is 204999997. The next prime is 205000001. The reversal of 205000000 is 502.

205000000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 103876864 + 101123136 = 10192^2 + 10056^2 .

It is a sliding number, since 205000000 = 5000000 + 200000000 and 1/5000000 + 1/200000000 = 0.000000205000000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205000001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4999980 + ... + 5000020.

It is an arithmetic number, because the mean of its divisors is an integer number (4650867).

Almost surely, 2^205000000 is an apocalyptic number.

205000000 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 205000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260448552).

205000000 is an abundant number, since it is smaller than the sum of its proper divisors (315897104).

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

205000000 is an frugal number, since it uses more digits than its factorization.

205000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 7.

The square root of 205000000 is about 14317.8210632764. The cubic root of 205000000 is about 589.6368539970.

Adding to 205000000 its reverse (502), we get a palindrome (205000502).

It can be divided in two parts, 20 and 5000000, that multiplied together give a 8-th power (100000000 = 10⁸).

The spelling of 205000000 in words is "two hundred five million", and thus it is an aban number.