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233882393 is a prime number
BaseRepresentation
bin11011111000011…
…00001100011001
3121022002110022212
431330030030121
5434333214033
635112524505
75536652603
oct1574141431
9538073285
10233882393
11110025338
12663b0735
13395bb464
14230c2173
15157ed748
hexdf0c319

233882393 has 2 divisors, whose sum is σ = 233882394. Its totient is φ = 233882392.

The previous prime is 233882353. The next prime is 233882417. The reversal of 233882393 is 393288332.

233882393 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 189420169 + 44462224 = 13763^2 + 6668^2 .

It is a cyclic number.

It is not a de Polignac number, because 233882393 - 28 = 233882137 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 233882393.

It is not a weakly prime, because it can be changed into another prime (233882353) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 116941196 + 116941197.

It is an arithmetic number, because the mean of its divisors is an integer number (116941197).

Almost surely, 2233882393 is an apocalyptic number.

It is an amenable number.

233882393 is a deficient number, since it is larger than the sum of its proper divisors (1).

233882393 is an equidigital number, since it uses as much as digits as its factorization.

233882393 is an evil number, because the sum of its binary digits is even.

The product of its digits is 186624, while the sum is 41.

The square root of 233882393 is about 15293.2139526000. The cubic root of 233882393 is about 616.1207606403.

The spelling of 233882393 in words is "two hundred thirty-three million, eight hundred eighty-two thousand, three hundred ninety-three".