224064

224,064 is an even composite number composed of three prime numbers multiplied together.

What does the number 224064 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 42 divisors.

224064 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of forty-two divisors.

Prime factorization of 224064:

2⁶ × 3² × 389

(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 389)

See below for interesting mathematical facts about the number 224064 from the Numbermatics database.

Names of 224064

Cardinal: 224064 can be written as Two hundred twenty-four thousand and sixty-four.

Scientific notation

Scientific notation: 2.24064 × 10⁵

Factors of 224064

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 9
Sum of prime factors: 394

Divisors of 224064

Number of divisors d(n): 42
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 389 576 778 1167 1556 2334 3112 3501 4668 6224 7002 9336 12448 14004 18672 24896 28008 37344 56016 74688 112032 224064
Sum of all divisors σ(n): 643890
Sum of proper divisors (its aliquot sum) s(n): 419826
224064 is an abundant number, because the sum of its proper divisors (419826) is greater than itself. Its abundance is 195762

Bases of 224064

Binary: 110110101101000000₂
Hexadecimal: 0x36B40
Base-36: 4SW0

Squares and roots of 224064

224064 squared (224064²) is 50204676096
224064 cubed (224064³) is 11249060544774144
The square root of 224064 is 473.3539901595
The cube root of 224064 is 60.7375628657

Scales and comparisons

How big is 224064?

224,064 seconds is equal to 2 days, 14 hours, 14 minutes, 24 seconds.
To count from 1 to 224,064 would take you about two 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 224064 cubic inches would be around 5.1 feet tall.

Recreational maths with 224064

224064 backwards is 460422
224064 is a Harshad number.
The number of decimal digits it has is: 6
The sum of 224064's digits is 18
More coming soon!

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The information we have on file for 224064 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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