# 2250

## 2,250 is an even composite number composed of three prime numbers multiplied together.

What does the number 2250 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 24 divisors.

2250 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty-four divisors.

## Prime factorization of 2250:

### 2 × 32 × 53

(2 × 3 × 3 × 5 × 5 × 5)

See below for interesting mathematical facts about the number 2250 from the Numbermatics database.

### Names of 2250

• Cardinal: 2250 can be written as Two thousand, two hundred fifty.

### Scientific notation

• Scientific notation: 2.25 × 103

### Factors of 2250

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 10

### Divisors of 2250

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 6084
• Sum of proper divisors (its aliquot sum) s(n): 3834
• 2250 is an abundant number, because the sum of its proper divisors (3834) is greater than itself. Its abundance is 1584

### Bases of 2250

• Binary: 1000110010102
• Base-36: 1QI

### Squares and roots of 2250

• 2250 squared (22502) is 5062500
• 2250 cubed (22503) is 11390625000
• The square root of 2250 is 47.4341649025
• The cube root of 2250 is 13.1037069713

### Scales and comparisons

How big is 2250?
• 2,250 seconds is equal to 37 minutes, 30 seconds.
• To count from 1 to 2,250 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 2250 cubic inches would be around 1.1 feet tall.

### Recreational maths with 2250

• 2250 backwards is 0522
• 2250 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 2250's digits is 9
• More coming soon!

#### Copy this link to share with anyone:

MLA style:
"Number 2250 - Facts about the integer". Numbermatics.com. 2023. Web. 11 December 2023.

APA style:
Numbermatics. (2023). Number 2250 - Facts about the integer. Retrieved 11 December 2023, from https://numbermatics.com/n/2250/

Chicago style:
Numbermatics. 2023. "Number 2250 - Facts about the integer". https://numbermatics.com/n/2250/

The information we have on file for 2250 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!

Keywords: Divisors of 2250, math, Factors of 2250, curriculum, school, college, exams, university, Prime factorization of 2250, STEM, science, technology, engineering, physics, economics, calculator, two thousand, two hundred fifty.

Oh no. Javascript is switched off in your browser.
Some bits of this website may not work unless you switch it on.