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!

HTML: To link to this page, just copy and paste the link below into your blog, web page or email.

BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below: