Search a number
-
+
230147329 is a prime number
BaseRepresentation
bin11011011011111…
…00010100000001
3121001001200210011
431231330110001
5432404203304
634500504521
75463135316
oct1555742401
9531050704
10230147329
11108a04105
12650ab141
13388b1369
14227ccd0d
1515311c04
hexdb7c501

230147329 has 2 divisors, whose sum is σ = 230147330. Its totient is φ = 230147328.

The previous prime is 230147311. The next prime is 230147339. The reversal of 230147329 is 923741032.

230147329 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., 200987329 + 29160000 = 14177^2 + 5400^2 .

It is a cyclic number.

It is not a de Polignac number, because 230147329 - 215 = 230114561 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 230147329.

It is not a weakly prime, because it can be changed into another prime (230147339) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 115073664 + 115073665.

It is an arithmetic number, because the mean of its divisors is an integer number (115073665).

Almost surely, 2230147329 is an apocalyptic number.

It is an amenable number.

230147329 is a deficient number, since it is larger than the sum of its proper divisors (1).

230147329 is an equidigital number, since it uses as much as digits as its factorization.

230147329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 230147329 is about 15170.6074037924. The cubic root of 230147329 is about 612.8233618942.

The spelling of 230147329 in words is "two hundred thirty million, one hundred forty-seven thousand, three hundred twenty-nine".