# 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!