205433213000 has 128 divisors (see below), whose sum is σ = 496677242880. Its totient is φ = 79471238400.

The previous prime is 205433212993. The next prime is 205433213003. The reversal of 205433213000 is 312334502.

It is not an unprimeable number, because it can be changed into a prime (205433213003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6162377 + ... + 6195623.

It is an arithmetic number, because the mean of its divisors is an integer number (3880290960).

Almost surely, 2^205433213000 is an apocalyptic number.

205433213000 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 205433213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248338621440).

205433213000 is an abundant number, since it is smaller than the sum of its proper divisors (291244029880).

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

205433213000 is a wasteful number, since it uses less digits than its factorization.

205433213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33472 (or 33458 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

Adding to 205433213000 its reverse (312334502), we get a palindrome (205745547502).

The spelling of 205433213000 in words is "two hundred five billion, four hundred thirty-three million, two hundred thirteen thousand".