Search a number
-
+
238916129 is a prime number
BaseRepresentation
bin11100011110110…
…01001000100001
3121122120012022112
432033121020201
5442130304004
635412445105
75630516324
oct1617311041
9548505275
10238916129
11112953251
1268019795
133a6616ba
1423a327bb
1515e94e6e
hexe3d9221

238916129 has 2 divisors, whose sum is σ = 238916130. Its totient is φ = 238916128.

The previous prime is 238916063. The next prime is 238916149. The reversal of 238916129 is 921619832.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 229583104 + 9333025 = 15152^2 + 3055^2 .

It is a cyclic number.

It is not a de Polignac number, because 238916129 - 224 = 222138913 is a prime.

It is not a weakly prime, because it can be changed into another prime (238916149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 119458064 + 119458065.

It is an arithmetic number, because the mean of its divisors is an integer number (119458065).

Almost surely, 2238916129 is an apocalyptic number.

It is an amenable number.

238916129 is a deficient number, since it is larger than the sum of its proper divisors (1).

238916129 is an equidigital number, since it uses as much as digits as its factorization.

238916129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 46656, while the sum is 41.

The square root of 238916129 is about 15456.9120137238. The cubic root of 238916129 is about 620.5095784609.

The spelling of 238916129 in words is "two hundred thirty-eight million, nine hundred sixteen thousand, one hundred twenty-nine".