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230006993 is a prime number
BaseRepresentation
bin11011011010110…
…10000011010001
3121000210120021112
431231122003101
5432340210433
634453503105
75462012216
oct1555320321
9530716245
10230006993
11108918727
1265041a95
1338862518
1422793b0d
15152d5348
hexdb5a0d1

230006993 has 2 divisors, whose sum is σ = 230006994. Its totient is φ = 230006992.

The previous prime is 230006983. The next prime is 230007067. The reversal of 230006993 is 399600032.

230006993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 149132944 + 80874049 = 12212^2 + 8993^2 .

It is a cyclic number.

It is not a de Polignac number, because 230006993 - 24 = 230006977 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

230006993 is a modest number, since divided by 6993 gives 230 as remainder.

It is a Curzon number.

It is equal to p12642944 and since 230006993 and 12642944 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (230006963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 115003496 + 115003497.

It is an arithmetic number, because the mean of its divisors is an integer number (115003497).

Almost surely, 2230006993 is an apocalyptic number.

It is an amenable number.

230006993 is a deficient number, since it is larger than the sum of its proper divisors (1).

230006993 is an equidigital number, since it uses as much as digits as its factorization.

230006993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8748, while the sum is 32.

The square root of 230006993 is about 15165.9814387332. The cubic root of 230006993 is about 612.6987769659.

The spelling of 230006993 in words is "two hundred thirty million, six thousand, nine hundred ninety-three".