205033000 has 32 divisors (see below), whose sum is σ = 479779560. Its totient is φ = 82012800.

The previous prime is 205032979. The next prime is 205033001. The reversal of 205033000 is 330502.

It can be written as a sum of positive squares in 4 ways, for example, as 126922756 + 78110244 = 11266^2 + 8838^2 .

It is not an unprimeable number, because it can be changed into a prime (205033001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101517 + ... + 103516.

Almost surely, 2^205033000 is an apocalyptic number.

205033000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205033000 is an abundant number, since it is smaller than the sum of its proper divisors (274746560).

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

205033000 is a wasteful number, since it uses less digits than its factorization.

205033000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205054 (or 205040 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 13.

The square root of 205033000 is about 14318.9734268906. The cubic root of 205033000 is about 589.6684913502.

Adding to 205033000 its reverse (330502), we get a palindrome (205363502).

The spelling of 205033000 in words is "two hundred five million, thirty-three thousand".