# 2264

## 2,264 is an even composite number composed of two prime numbers multiplied together.

What does the number 2264 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 8 divisors.

2264 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of eight divisors.

## Prime factorization of 2264:

### 23 × 283

(2 × 2 × 2 × 283)

See below for interesting mathematical facts about the number 2264 from the Numbermatics database.

### Names of 2264

• Cardinal: 2264 can be written as Two thousand, two hundred sixty-four.

### Scientific notation

• Scientific notation: 2.264 × 103

### Factors of 2264

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 285

### Divisors of 2264

• Number of divisors d(n): 8
• Complete list of divisors:
• Sum of all divisors σ(n): 4260
• Sum of proper divisors (its aliquot sum) s(n): 1996
• 2264 is a deficient number, because the sum of its proper divisors (1996) is less than itself. Its deficiency is 268

### Bases of 2264

• Binary: 1000110110002
• Base-36: 1QW

### Squares and roots of 2264

• 2264 squared (22642) is 5125696
• 2264 cubed (22643) is 11604575744
• The square root of 2264 is 47.5815090135
• The cube root of 2264 is 13.1308288547

### Scales and comparisons

How big is 2264?
• 2,264 seconds is equal to 37 minutes, 44 seconds.
• To count from 1 to 2,264 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 2264 cubic inches would be around 1.1 feet tall.

### Recreational maths with 2264

• 2264 backwards is 4622
• The number of decimal digits it has is: 4
• The sum of 2264's digits is 14
• More coming soon!

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"Number 2264 - Facts about the integer". Numbermatics.com. 2021. Web. 28 November 2021.

APA style:
Numbermatics. (2021). Number 2264 - Facts about the integer. Retrieved 28 November 2021, from https://numbermatics.com/n/2264/

Chicago style:
Numbermatics. 2021. "Number 2264 - Facts about the integer". https://numbermatics.com/n/2264/

The information we have on file for 2264 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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