# 224

## 224 is an even composite number composed of two prime numbers multiplied together.

What does the number 224 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 12 divisors.

224 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of twelve divisors.

## Prime factorization of 224:

### 25 × 7

(2 × 2 × 2 × 2 × 2 × 7)

See below for interesting mathematical facts about the number 224 from the Numbermatics database.

### Names of 224

• Cardinal: 224 can be written as Two hundred twenty-four.

### Scientific notation

• Scientific notation: 2.24 × 102

### Factors of 224

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 9

### Divisors of 224

• Number of divisors d(n): 12
• Complete list of divisors:
• Sum of all divisors σ(n): 504
• Sum of proper divisors (its aliquot sum) s(n): 280
• 224 is an abundant number, because the sum of its proper divisors (280) is greater than itself. Its abundance is 56

### Bases of 224

• Binary: 111000002
• Base-36: 68

### Squares and roots of 224

• 224 squared (2242) is 50176
• 224 cubed (2243) is 11239424
• The square root of 224 is 14.9666295471
• The cube root of 224 is 6.0731779437

### Scales and comparisons

How big is 224?
• 224 seconds is equal to 3 minutes, 44 seconds.
• To count from 1 to 224 would take you about fifty-two 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 224 cubic inches would be around 0.5 feet tall.

### Recreational maths with 224

• 224 backwards is 422
• 224 is a Harshad number.
• The number of decimal digits it has is: 3
• The sum of 224's digits is 8
• More coming soon!

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The information we have on file for 224 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

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