# 238

## 238 is an even composite number composed of three prime numbers multiplied together.

What does the number 238 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 8 divisors.

238 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of eight divisors.

## Prime factorization of 238:

### 2 × 7 × 17

See below for interesting mathematical facts about the number 238 from the Numbermatics database.

### Names of 238

• Cardinal: 238 can be written as Two hundred thirty-eight.

### Scientific notation

• Scientific notation: 2.38 × 102

### Factors of 238

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 3
• Sum of prime factors: 26

### Divisors of 238

• Number of divisors d(n): 8
• Complete list of divisors:
• Sum of all divisors σ(n): 432
• Sum of proper divisors (its aliquot sum) s(n): 194
• 238 is a deficient number, because the sum of its proper divisors (194) is less than itself. Its deficiency is 44

### Bases of 238

• Binary: 111011102
• Base-36: 6M

### Squares and roots of 238

• 238 squared (2382) is 56644
• 238 cubed (2383) is 13481272
• The square root of 238 is 15.4272486205
• The cube root of 238 is 6.1971544347

### Scales and comparisons

How big is 238?
• 238 seconds is equal to 3 minutes, 58 seconds.
• To count from 1 to 238 would take you about fifty-nine seconds.

This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 238 cubic inches would be around 0.5 feet tall.

### Recreational maths with 238

• 238 backwards is 832
• The number of decimal digits it has is: 3
• The sum of 238's digits is 13
• More coming soon!