# 2268

## 2,268 is an even composite number composed of three prime numbers multiplied together.

What does the number 2268 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 30 divisors.

2268 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of thirty divisors.

## Prime factorization of 2268:

### 22 × 34 × 7

(2 × 2 × 3 × 3 × 3 × 3 × 7)

See below for interesting mathematical facts about the number 2268 from the Numbermatics database.

### Names of 2268

• Cardinal: 2268 can be written as Two thousand, two hundred sixty-eight.

### Scientific notation

• Scientific notation: 2.268 × 103

### Factors of 2268

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 12

### Divisors of 2268

• Number of divisors d(n): 30
• Complete list of divisors:
• Sum of all divisors σ(n): 6776
• Sum of proper divisors (its aliquot sum) s(n): 4508
• 2268 is an abundant number, because the sum of its proper divisors (4508) is greater than itself. Its abundance is 2240

### Bases of 2268

• Binary: 1000110111002
• Base-36: 1R0

### Squares and roots of 2268

• 2268 squared (22682) is 5143824
• 2268 cubed (22683) is 11666192832
• The square root of 2268 is 47.6235235991
• The cube root of 2268 is 13.1385574197

### Scales and comparisons

How big is 2268?
• 2,268 seconds is equal to 37 minutes, 48 seconds.
• To count from 1 to 2,268 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 2268 cubic inches would be around 1.1 feet tall.

### Recreational maths with 2268

• 2268 backwards is 8622
• 2268 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 2268's digits is 18
• More coming soon!