216832

216,832 is an even composite number composed of three prime numbers multiplied together.

What does the number 216832 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 54 divisors.

216832 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of fifty-four divisors.

Prime factorization of 216832:

2⁸ × 7 × 11²

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 11 × 11)

See below for interesting mathematical facts about the number 216832 from the Numbermatics database.

Names of 216832

Cardinal: 216832 can be written as Two hundred sixteen thousand, eight hundred thirty-two.

Scientific notation

Scientific notation: 2.16832 × 10⁵

Factors of 216832

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 11
Sum of prime factors: 20

Divisors of 216832

Number of divisors d(n): 54
Complete list of divisors:
1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 121 128 154 176 224 242 256 308 352 448 484 616 704 847 896 968 1232 1408 1694 1792 1936 2464 2816 3388 3872 4928 6776 7744 9856 13552 15488 19712 27104 30976 54208 108416 216832
Sum of all divisors σ(n): 543704
Sum of proper divisors (its aliquot sum) s(n): 326872
216832 is an abundant number, because the sum of its proper divisors (326872) is greater than itself. Its abundance is 110040

Bases of 216832

Binary: 110100111100000000₂
Hexadecimal: 0x34F00
Base-36: 4NB4

Squares and roots of 216832

216832 squared (216832²) is 47016116224
216832 cubed (216832³) is 10194598513082368
The square root of 216832 is 465.6522307475
The cube root of 216832 is 60.0769383365

Scales and comparisons

How big is 216832?

216,832 seconds is equal to 2 days, 12 hours, 13 minutes, 52 seconds.
To count from 1 to 216,832 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 216832 cubic inches would be around 5 feet tall.

Recreational maths with 216832

216832 backwards is 238612
216832 is a Harshad number.
The number of decimal digits it has is: 6
The sum of 216832's digits is 22
More coming soon!

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The information we have on file for 216832 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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