# 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!