288225

288,225 is an odd composite number composed of four prime numbers multiplied together.

What does the number 288225 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 48 divisors.

288225 is an odd composite number. It is composed of four distinct prime numbers multiplied together. It has a total of forty-eight divisors.

Prime factorization of 288225:

3³ × 5² × 7 × 61

(3 × 3 × 3 × 5 × 5 × 7 × 61)

See below for interesting mathematical facts about the number 288225 from the Numbermatics database.

Names of 288225

Cardinal: 288225 can be written as Two hundred eighty-eight thousand, two hundred twenty-five.

Scientific notation

Scientific notation: 2.88225 × 10⁵

Factors of 288225

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 7
Sum of prime factors: 76

Divisors of 288225

Number of divisors d(n): 48
Complete list of divisors:
1 3 5 7 9 15 21 25 27 35 45 61 63 75 105 135 175 183 189 225 305 315 427 525 549 675 915 945 1281 1525 1575 1647 2135 2745 3843 4575 4725 6405 8235 10675 11529 13725 19215 32025 41175 57645 96075 288225
Sum of all divisors σ(n): 615040
Sum of proper divisors (its aliquot sum) s(n): 326815
288225 is an abundant number, because the sum of its proper divisors (326815) is greater than itself. Its abundance is 38590

Bases of 288225

Binary: 1000110010111100001₂
Hexadecimal: 0x465E1
Base-36: 66E9

Squares and roots of 288225

288225 squared (288225²) is 83073650625
288225 cubed (288225³) is 23943902951390625
The square root of 288225 is 536.8659050451
The cube root of 288225 is 66.0557380391

Scales and comparisons

How big is 288225?

288,225 seconds is equal to 3 days, 8 hours, 3 minutes, 45 seconds.
To count from 1 to 288,225 would take you about three days.

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 288225 cubic inches would be around 5.5 feet tall.

Recreational maths with 288225

288225 backwards is 522882
288225 is a Harshad number.
The number of decimal digits it has is: 6
The sum of 288225's digits is 27
More coming soon!

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The information we have on file for 288225 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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