Search a number
-
+
238368033 = 32177272143
BaseRepresentation
bin11100011010100…
…11010100100001
3121121112100110200
432031103110201
5442010234113
635353015413
75623044351
oct1615232441
9547470420
10238368033
11112609482
12679b4569
133a4cc097
142392cb61
1515dd7873
hexe353521

238368033 has 24 divisors (see below), whose sum is σ = 365234688. Its totient is φ = 149288832.

The previous prime is 238367989. The next prime is 238368037. The reversal of 238368033 is 330863832.

It is not a de Polignac number, because 238368033 - 214 = 238351649 is a prime.

It is not an unprimeable number, because it can be changed into a prime (238368037) 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 in 23 ways as a sum of consecutive naturals, for example, 110160 + ... + 112302.

It is an arithmetic number, because the mean of its divisors is an integer number (15218112).

Almost surely, 2238368033 is an apocalyptic number.

It is an amenable number.

238368033 is a deficient number, since it is larger than the sum of its proper divisors (126866655).

238368033 is a wasteful number, since it uses less digits than its factorization.

238368033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2893 (or 2890 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 238368033 is about 15439.1720309089. The cubic root of 238368033 is about 620.0347127634.

The spelling of 238368033 in words is "two hundred thirty-eight million, three hundred sixty-eight thousand, thirty-three".

Divisors: 1 3 9 17 51 153 727 2143 2181 6429 6543 12359 19287 36431 37077 109293 111231 327879 1557961 4673883 14021649 26485337 79456011 238368033