# 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!