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205000353 = 3222777817
BaseRepresentation
bin11000011100000…
…00111010100001
3112021202002121200
430032000322201
5404440002403
632201511413
75036321445
oct1416007241
9467662550
10205000353
11a5798888
12587a2569
13336182ac
141d324825
1512ee5ca3
hexc380ea1

205000353 has 6 divisors (see below), whose sum is σ = 296111634. Its totient is φ = 136666896.

The previous prime is 205000351. The next prime is 205000381. The reversal of 205000353 is 353000502.

It can be written as a sum of positive squares in only one way, i.e., 204861969 + 138384 = 14313^2 + 372^2 .

It is not a de Polignac number, because 205000353 - 21 = 205000351 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (205000351) 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 5 ways as a sum of consecutive naturals, for example, 11388900 + ... + 11388917.

It is an arithmetic number, because the mean of its divisors is an integer number (49351939).

Almost surely, 2205000353 is an apocalyptic number.

It is an amenable number.

205000353 is a deficient number, since it is larger than the sum of its proper divisors (91111281).

205000353 is a wasteful number, since it uses less digits than its factorization.

205000353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22777823 (or 22777820 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 18.

The square root of 205000353 is about 14317.8333905658. The cubic root of 205000353 is about 589.6371924388.

Adding to 205000353 its reverse (353000502), we get a palindrome (558000855).

The spelling of 205000353 in words is "two hundred five million, three hundred fifty-three", and thus it is an aban number.

Divisors: 1 3 9 22777817 68333451 205000353