205302000 has 80 divisors (see below), whose sum is σ = 661912992. Its totient is φ = 54745600.

The previous prime is 205301981. The next prime is 205302007. The reversal of 205302000 is 203502.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×205302000² = 84297822408000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205302007) 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, 11109 + ... + 23108.

Almost surely, 2^205302000 is an apocalyptic number.

205302000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205302000 is an abundant number, since it is smaller than the sum of its proper divisors (456610992).

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

205302000 is a wasteful number, since it uses less digits than its factorization.

205302000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34243 (or 34227 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 205302000 is about 14328.3634794766. The cubic root of 205302000 is about 589.9262571820.

Adding to 205302000 its reverse (203502), we get a palindrome (205505502).

The spelling of 205302000 in words is "two hundred five million, three hundred two thousand".