Search a number
-
+
230400193 is a prime number
BaseRepresentation
bin11011011101110…
…10000011000001
3121001112112122111
431232322003001
5432440301233
634510135321
75465240452
oct1556720301
9531475574
10230400193
11109067091
12651b1541
133896c49a
1422857129
1515361acd
hexdbba0c1

230400193 has 2 divisors, whose sum is σ = 230400194. Its totient is φ = 230400192.

The previous prime is 230400151. The next prime is 230400253. The reversal of 230400193 is 391004032.

230400193 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., 216472369 + 13927824 = 14713^2 + 3732^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-230400193 is a prime.

It is not a weakly prime, because it can be changed into another prime (230400293) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 115200096 + 115200097.

It is an arithmetic number, because the mean of its divisors is an integer number (115200097).

Almost surely, 2230400193 is an apocalyptic number.

It is an amenable number.

230400193 is a deficient number, since it is larger than the sum of its proper divisors (1).

230400193 is an equidigital number, since it uses as much as digits as its factorization.

230400193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 230400193 is about 15178.9391263026. The cubic root of 230400193 is about 613.0477170927.

The spelling of 230400193 in words is "two hundred thirty million, four hundred thousand, one hundred ninety-three".