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230713829 is a prime number
BaseRepresentation
bin11011100000001…
…10100111100101
3121002010110212122
431300012213211
5433030320304
634520555325
75501015033
oct1560064745
9532113778
10230713829
11109260795
1265322b45
1338a4c178
14228d9553
15153c49be
hexdc069e5

230713829 has 2 divisors, whose sum is σ = 230713830. Its totient is φ = 230713828.

The previous prime is 230713781. The next prime is 230713831. The reversal of 230713829 is 928317032.

230713829 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., 156925729 + 73788100 = 12527^2 + 8590^2 .

It is a cyclic number.

It is not a de Polignac number, because 230713829 - 216 = 230648293 is a prime.

Together with 230713831, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (230713849) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 115356914 + 115356915.

It is an arithmetic number, because the mean of its divisors is an integer number (115356915).

Almost surely, 2230713829 is an apocalyptic number.

It is an amenable number.

230713829 is a deficient number, since it is larger than the sum of its proper divisors (1).

230713829 is an equidigital number, since it uses as much as digits as its factorization.

230713829 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 230713829 is about 15189.2669013353. The cubic root of 230713829 is about 613.3257646816.

The spelling of 230713829 in words is "two hundred thirty million, seven hundred thirteen thousand, eight hundred twenty-nine".