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233849313 = 3225983257
BaseRepresentation
bin11011111000001…
…00000111100001
3121022000202221200
431330010013201
5434331134223
635112111413
75536454265
oct1574040741
9538022850
10233849313
111100024a5
1266395569
13395a9399
14230b40a5
15157e3a43
hexdf041e1

233849313 has 6 divisors (see below), whose sum is σ = 337782354. Its totient is φ = 155899536.

The previous prime is 233849309. The next prime is 233849323. The reversal of 233849313 is 313948332.

233849313 is a `hidden beast` number, since 2 + 338 + 4 + 9 + 313 = 666.

It can be written as a sum of positive squares in only one way, i.e., 141919569 + 91929744 = 11913^2 + 9588^2 .

It is not a de Polignac number, because 233849313 - 22 = 233849309 is a prime.

It is not an unprimeable number, because it can be changed into a prime (233849323) 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 5 ways as a sum of consecutive naturals, for example, 12991620 + ... + 12991637.

It is an arithmetic number, because the mean of its divisors is an integer number (56297059).

Almost surely, 2233849313 is an apocalyptic number.

It is an amenable number.

233849313 is a deficient number, since it is larger than the sum of its proper divisors (103933041).

233849313 is a wasteful number, since it uses less digits than its factorization.

233849313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25983263 (or 25983260 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 233849313 is about 15292.1323889116. The cubic root of 233849313 is about 616.0917115166.

The spelling of 233849313 in words is "two hundred thirty-three million, eight hundred forty-nine thousand, three hundred thirteen".

Divisors: 1 3 9 25983257 77949771 233849313