Search a number
-
+
238158329 is a prime number
BaseRepresentation
bin11100011001000…
…00000111111001
3121121010200210212
432030200013321
5441432031304
635344320505
75621212103
oct1614400771
9547120725
10238158329
11112485972
1267913135
133a4577b6
14238b6573
1515d9566e
hexe3201f9

238158329 has 2 divisors, whose sum is σ = 238158330. Its totient is φ = 238158328.

The previous prime is 238158317. The next prime is 238158341. The reversal of 238158329 is 923851832.

It is a balanced prime because it is at equal distance from previous prime (238158317) and next prime (238158341).

It can be written as a sum of positive squares in only one way, i.e., 219839929 + 18318400 = 14827^2 + 4280^2 .

It is a cyclic number.

It is not a de Polignac number, because 238158329 - 28 = 238158073 is a prime.

It is not a weakly prime, because it can be changed into another prime (238158359) 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, 119079164 + 119079165.

It is an arithmetic number, because the mean of its divisors is an integer number (119079165).

Almost surely, 2238158329 is an apocalyptic number.

It is an amenable number.

238158329 is a deficient number, since it is larger than the sum of its proper divisors (1).

238158329 is an equidigital number, since it uses as much as digits as its factorization.

238158329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 103680, while the sum is 41.

The square root of 238158329 is about 15432.3792397673. The cubic root of 238158329 is about 619.8528344779.

The spelling of 238158329 in words is "two hundred thirty-eight million, one hundred fifty-eight thousand, three hundred twenty-nine".