# 2251

## 2,251 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 2251 look like?

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

2251 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 2251:

### 2251

See below for interesting mathematical facts about the number 2251 from the Numbermatics database.

### Names of 2251

• Cardinal: 2251 can be written as Two thousand, two hundred fifty-one.

### Scientific notation

• Scientific notation: 2.251 × 103

### Factors of 2251

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 2251

### Divisors of 2251

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 2252
• Sum of proper divisors (its aliquot sum) s(n): 1
• 2251 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 2250

### Bases of 2251

• Binary: 1000110010112
• Base-36: 1QJ

### Squares and roots of 2251

• 2251 squared (22512) is 5067001
• 2251 cubed (22513) is 11405819251
• The square root of 2251 is 47.4447046571
• The cube root of 2251 is 13.1056479737

### Scales and comparisons

How big is 2251?
• 2,251 seconds is equal to 37 minutes, 31 seconds.
• To count from 1 to 2,251 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 2251 cubic inches would be around 1.1 feet tall.

### Recreational maths with 2251

• 2251 backwards is 1522
• The number of decimal digits it has is: 4
• The sum of 2251's digits is 10
• More coming soon!

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"Number 2251 - Facts about the integer". Numbermatics.com. 2023. Web. 1 February 2023.

APA style:
Numbermatics. (2023). Number 2251 - Facts about the integer. Retrieved 1 February 2023, from https://numbermatics.com/n/2251/

Chicago style:
Numbermatics. 2023. "Number 2251 - Facts about the integer". https://numbermatics.com/n/2251/

The information we have on file for 2251 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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