# 2267

## 2,267 is a prime number. Like all primes greater than two, it is odd and has no factors apart from itself and one.

What does the number 2267 look like?

As a prime, it is not composed of any other numbers and has no internal structure.

2267 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 2267:

### 2267

See below for interesting mathematical facts about the number 2267 from the Numbermatics database.

### Names of 2267

• Cardinal: 2267 can be written as Two thousand, two hundred sixty-seven.

### Scientific notation

• Scientific notation: 2.267 × 103

### Factors of 2267

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 2267

### Divisors of 2267

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 2268
• Sum of proper divisors (its aliquot sum) s(n): 1
• 2267 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 2266

### Bases of 2267

• Binary: 1000110110112
• Base-36: 1QZ

### Squares and roots of 2267

• 2267 squared (22672) is 5139289
• 2267 cubed (22673) is 11650768163
• The square root of 2267 is 47.6130234285
• The cube root of 2267 is 13.1366261309

### Scales and comparisons

How big is 2267?
• 2,267 seconds is equal to 37 minutes, 47 seconds.
• To count from 1 to 2,267 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 2267 cubic inches would be around 1.1 feet tall.

### Recreational maths with 2267

• 2267 backwards is 7622
• 2267 is a twin prime! Its twin is 2269
• The number of decimal digits it has is: 4
• The sum of 2267's digits is 17
• More coming soon!