222825120
222,825,120 is an even composite number composed of seven prime numbers multiplied together.
222825120 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 222825120:
25 × 3 × 5 × 7 × 17 × 47 × 83
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 17 × 47 × 83)See below for interesting mathematical facts about the number 222825120 from the Numbermatics database.
Names of 222825120
- Cardinal: 222825120 can be written as Two hundred twenty-two million, eight hundred twenty-five thousand, one hundred twenty.
Scientific notation
- Scientific notation: 2.2282512 × 108
Factors of 222825120
Divisors of 222825120
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 28 30 32 34 35 40 42 47 48 51 56 60 68 70 80 83 84 85 94 96 102 105 112 119 120 136 140 141 160 166 168 170 188 204 210 224 235 238 240 249 255 272 280 282 329 332 336 340 357 376 408 415 420 470 476 480 498 510 544 560 564 581 595 658 664 672 680 705 714 752 799 816 830 840 940 952 987 996 1020 1120 1128 1162 1190 1245 1316 1328 1360 1410 1411 1428 1504 1598 1632 1645 1660 1680 1743 1785 1880 1904 1974 1992 2040 2256 2324 2380 2397 2490 2632 2656 2720 2820 2822 2856 2905 3196 3290 3320 3360 3486 3570 3760 3808 3901 3948 3984 3995 4080 4233 4512 4648 4760 4794 4935 4980 5264 5593 5640 5644 5712 5810 6392 6580 6640 6972 7055 7140 7520 7802 7896 7968 7990 8160 8466 8715 9296 9520 9588 9870 9877 9960 10528 11186 11280 11288 11424 11620 11703 11985 12784 13160 13280 13944 14110 14280 15604 15792 15980 16779 16932 17430 18592 19040 19176 19505 19740 19754 19920 21165 22372 22560 22576 23240 23406 23970 25568 26320 27307 27888 27965 28220 28560 29631 31208 31584 31960 33558 33864 34860 38352 39010 39480 39508 39840 42330 44744 45152 46480 46812 47940 49385 52640 54614 55776 55930 56440 57120 58515 59262 62416 63920 66317 67116 67728 69720 76704 78020 78960 79016 81921 83895 84660 89488 92960 93624 95880 98770 109228 111860 112880 117030 118524 124832 127840 132634 134232 135456 136535 139440 148155 156040 157920 158032 163842 167790 169320 178976 187248 191760 197540 198951 218456 223720 225760 234060 237048 265268 268464 273070 278880 296310 312080 316064 327684 331585 335580 338640 374496 383520 395080 397902 409605 436912 447440 464219 468120 474096 530536 536928 546140 592620 624160 655368 663170 671160 677280 790160 795804 819210 873824 894880 928438 936240 948192 994755 1061072 1092280 1185240 1310736 1326340 1342320 1392657 1580320 1591608 1638420 1856876 1872480 1989510 2122144 2184560 2321095 2370480 2621472 2652680 2684640 2785314 3183216 3276840 3713752 3979020 4369120 4642190 4740960 5305360 5570628 6366432 6553680 6963285 7427504 7958040 9284380 10610720 11141256 13107360 13926570 14855008 15916080 18568760 22282512 27853140 31832160 37137520 44565024 55706280 74275040 111412560 222825120
- Sum of all divisors σ(n): 877879296
- Sum of proper divisors (its aliquot sum) s(n): 655054176
- 222825120 is an abundant number, because the sum of its proper divisors (655054176) is greater than itself. Its abundance is 432229056
Bases of 222825120
- Binary: 11010100100000001010101000002
- Hexadecimal: 0xD480AA0
- Base-36: 3ONWYO
Squares and roots of 222825120
- 222825120 squared (2228251202) is 49651034103014400
- 222825120 cubed (2228251203) is 11063497632128276041728000
-
The
square root of 222825120 is 14927.3279591493 -
The
cube root of 222825120 is 606.2541386331
Scales and comparisons
How big is 222825120?- 222,825,120 seconds is equal to 7 years, 4 weeks, 2 days, 23 hours, 52 minutes.
-
To count from 1 to 222,825,120 would take you about ten years!
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 222825120 cubic inches would be around 50.5 feet tall.
Recreational maths with 222825120
Link to this page
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:
Cite this page
MLA style:
"Number 222825120 - Facts about the integer". Numbermatics.com. 2024. Web. 2 May 2024.
APA style:
Numbermatics. (2024). Number 222825120 - Facts about the integer. Retrieved 2 May 2024, from https://numbermatics.com/n/222825120/
Chicago style:
Numbermatics. 2024. "Number 222825120 - Facts about the integer". https://numbermatics.com/n/222825120/
The information we have on file for 222825120 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 222825120, math, Factors of 222825120, curriculum, school, college, exams, university, Prime factorization of 222825120, STEM, science, technology, engineering, physics, economics, calculator, two hundred twenty-two million, eight hundred twenty-five thousand, one hundred twenty.