# 2240

## 2,240 is an even composite number composed of three prime numbers multiplied together.

What does the number 2240 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 28 divisors.

2240 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty-eight divisors.

## Prime factorization of 2240:

### 26 × 5 × 7

(2 × 2 × 2 × 2 × 2 × 2 × 5 × 7)

See below for interesting mathematical facts about the number 2240 from the Numbermatics database.

### Names of 2240

• Cardinal: 2240 can be written as Two thousand, two hundred forty.

### Scientific notation

• Scientific notation: 2.24 × 103

### Factors of 2240

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 14

### Divisors of 2240

• Number of divisors d(n): 28
• Complete list of divisors:
• Sum of all divisors σ(n): 6096
• Sum of proper divisors (its aliquot sum) s(n): 3856
• 2240 is an abundant number, because the sum of its proper divisors (3856) is greater than itself. Its abundance is 1616

### Bases of 2240

• Binary: 1000110000002
• Base-36: 1Q8

### Squares and roots of 2240

• 2240 squared (22402) is 5017600
• 2240 cubed (22403) is 11239424000
• The square root of 2240 is 47.3286382647
• The cube root of 2240 is 13.0842652407

### Scales and comparisons

How big is 2240?
• 2,240 seconds is equal to 37 minutes, 20 seconds.
• To count from 1 to 2,240 would take you about thirty-seven minutes.

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 2240 cubic inches would be around 1.1 feet tall.

### Recreational maths with 2240

• 2240 backwards is 0422
• 2240 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 2240's digits is 8
• More coming soon!

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The information we have on file for 2240 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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