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238257 = 32231151
BaseRepresentation
bin111010001010110001
3110002211100
4322022301
530111012
65035013
72011425
oct721261
9402740
10238257
11153008
12b5a69
13845a6
1462b85
154a8dc
hex3a2b1

238257 has 12 divisors (see below), whose sum is σ = 359424. Its totient is φ = 151800.

The previous prime is 238247. The next prime is 238261. The reversal of 238257 is 752832.

238257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 238257 - 28 = 238001 is a prime.

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 238257.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 369 + ... + 782.

It is an arithmetic number, because the mean of its divisors is an integer number (29952).

2238257 is an apocalyptic number.

It is an amenable number.

238257 is a deficient number, since it is larger than the sum of its proper divisors (121167).

238257 is a wasteful number, since it uses less digits than its factorization.

238257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180 (or 1177 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 238257 is about 488.1157649575. The cubic root of 238257 is about 61.9938426074.

It can be divided in two parts, 23825 and 7, that added together give a palindrome (23832).

The spelling of 238257 in words is "two hundred thirty-eight thousand, two hundred fifty-seven".

Divisors: 1 3 9 23 69 207 1151 3453 10359 26473 79419 238257