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238122 = 23213229
BaseRepresentation
bin111010001000101010
3110002122100
4322020222
530104442
65034230
72011143
oct721052
9402570
10238122
111529a5
12b5976
1384501
1462aca
154a84c
hex3a22a

238122 has 12 divisors (see below), whose sum is σ = 515970. Its totient is φ = 79368.

The previous prime is 238109. The next prime is 238141. The reversal of 238122 is 221832.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 123201 + 114921 = 351^2 + 339^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 13229 = 238122 / (2 + 3 + 8 + 1 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 238095 and 238104.

It is an unprimeable number.

238122 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6597 + ... + 6632.

2238122 is an apocalyptic number.

238122 is an abundant number, since it is smaller than the sum of its proper divisors (277848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

238122 is a wasteful number, since it uses less digits than its factorization.

238122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13237 (or 13234 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 238122 is about 487.9774584958. The cubic root of 238122 is about 61.9821315140.

Adding to 238122 its reverse (221832), we get a palindrome (459954).

Subtracting from 238122 its reverse (221832), we obtain a triangular number (16290 = T180).

The spelling of 238122 in words is "two hundred thirty-eight thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 13229 26458 39687 79374 119061 238122