205232000 has 128 divisors (see below), whose sum is σ = 519367680. Its totient is φ = 80640000.

The previous prime is 205231993. The next prime is 205232009. The reversal of 205232000 is 232502.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205232009) by changing a digit.

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, 1615937 + ... + 1616063.

It is an arithmetic number, because the mean of its divisors is an integer number (4057560).

Almost surely, 2^205232000 is an apocalyptic number.

205232000 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 205232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259683840).

205232000 is an abundant number, since it is smaller than the sum of its proper divisors (314135680).

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

205232000 is a wasteful number, since it uses less digits than its factorization.

205232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 205232000 is about 14325.9205637893. The cubic root of 205232000 is about 589.8592022544.

Adding to 205232000 its reverse (232502), we get a palindrome (205464502).

The spelling of 205232000 in words is "two hundred five million, two hundred thirty-two thousand".