Search a number
-
+
238801 is a prime number
BaseRepresentation
bin111010010011010001
3110010120111
4322103101
530120201
65041321
72013133
oct722321
9403514
10238801
11153462
12b6241
1384904
1463053
154ab51
hex3a4d1

238801 has 2 divisors, whose sum is σ = 238802. Its totient is φ = 238800.

The previous prime is 238789. The next prime is 238829. The reversal of 238801 is 108832.

238801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is the 200-th star number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 123201 + 115600 = 351^2 + 340^2 .

It is a cyclic number.

It is not a de Polignac number, because 238801 - 27 = 238673 is a prime.

It is a Chen prime.

It is an Ulam number.

It is not a weakly prime, because it can be changed into another prime (238841) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 119400 + 119401.

It is an arithmetic number, because the mean of its divisors is an integer number (119401).

2238801 is an apocalyptic number.

It is an amenable number.

238801 is a deficient number, since it is larger than the sum of its proper divisors (1).

238801 is an equidigital number, since it uses as much as digits as its factorization.

238801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 238801 is about 488.6726920956. The cubic root of 238801 is about 62.0409891979.

The spelling of 238801 in words is "two hundred thirty-eight thousand, eight hundred one".