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:
1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 125 150 225 250 375 450 750 1125 2250
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
Hexadecimal: 0x8CA
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!

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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!

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