122208

122,208 is an even composite number composed of four prime numbers multiplied together.

What does the number 122208 look like?

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

122208 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of forty-eight divisors.

Prime factorization of 122208:

2⁵ × 3 × 19 × 67

(2 × 2 × 2 × 2 × 2 × 3 × 19 × 67)

See below for interesting mathematical facts about the number 122208 from the Numbermatics database.

Names of 122208

Cardinal: 122208 can be written as One hundred twenty-two thousand, two hundred eight.

Scientific notation

Scientific notation: 1.22208 × 10⁵

Factors of 122208

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 8
Sum of prime factors: 91

Divisors of 122208

Number of divisors d(n): 48
Complete list of divisors:
1 2 3 4 6 8 12 16 19 24 32 38 48 57 67 76 96 114 134 152 201 228 268 304 402 456 536 608 804 912 1072 1273 1608 1824 2144 2546 3216 3819 5092 6432 7638 10184 15276 20368 30552 40736 61104 122208
Sum of all divisors σ(n): 342720
Sum of proper divisors (its aliquot sum) s(n): 220512
122208 is an abundant number, because the sum of its proper divisors (220512) is greater than itself. Its abundance is 98304

Bases of 122208

Binary: 11101110101100000₂
Hexadecimal: 0x1DD60
Base-36: 2MAO

Squares and roots of 122208

122208 squared (122208²) is 14934795264
122208 cubed (122208³) is 1825151459622912
The square root of 122208 is 349.5826082631
The cube root of 122208 is 49.6249267701

Scales and comparisons

How big is 122208?

122,208 seconds is equal to 1 day, 9 hours, 56 minutes, 48 seconds.
To count from 1 to 122,208 would take you about nine hours.

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 122208 cubic inches would be around 4.1 feet tall.

Recreational maths with 122208

122208 backwards is 802221
The number of decimal digits it has is: 6
The sum of 122208's digits is 15
More coming soon!

Copy this link to share with anyone:

Share this page on social media:

Link to this page

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

<a href="https://numbermatics.com/n/122208/?utm_source=shared">Number 122208 - Facts about the integer</a>

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

[url=https://numbermatics.com/n/122208/?utm_source=shared]Number 122208 - Facts about the integer[/url]

Cite this page

MLA style:
"Number 122208 - Facts about the integer". Numbermatics.com. 2024. Web. 27 April 2024.

APA style:
Numbermatics. (2024). Number 122208 - Facts about the integer. Retrieved 27 April 2024, from https://numbermatics.com/n/122208/

Chicago style:
Numbermatics. 2024. "Number 122208 - Facts about the integer". https://numbermatics.com/n/122208/

The information we have on file for 122208 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!

Keywords: Divisors of 122208, math, Factors of 122208, curriculum, school, college, exams, university, Prime factorization of 122208, STEM, science, technology, engineering, physics, economics, calculator, one hundred twenty-two thousand, two hundred eight.