97225920
97,225,920 is an even composite number composed of five prime numbers multiplied together.
97225920 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred twenty divisors.
Prime factorization of 97225920:
26 × 34 × 5 × 112 × 31
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 11 × 11 × 31)See below for interesting mathematical facts about the number 97225920 from the Numbermatics database.
Names of 97225920
- Cardinal: 97225920 can be written as Ninety-seven million, two hundred twenty-five thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 9.722592 × 107
Factors of 97225920
Divisors of 97225920
- Number of divisors d(n): 420
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 31 32 33 36 40 44 45 48 54 55 60 62 64 66 72 80 81 88 90 93 96 99 108 110 120 121 124 132 135 144 155 160 162 165 176 180 186 192 198 216 220 240 242 248 264 270 279 288 297 310 320 324 330 341 352 360 363 372 396 405 432 440 465 480 484 495 496 528 540 558 576 594 605 620 648 660 682 704 720 726 744 792 810 837 864 880 891 930 960 968 990 992 1023 1056 1080 1089 1116 1188 1210 1240 1296 1320 1364 1395 1440 1452 1485 1488 1584 1620 1674 1705 1728 1760 1782 1815 1860 1936 1980 1984 2046 2112 2160 2178 2232 2376 2420 2480 2511 2592 2640 2728 2790 2880 2904 2970 2976 3069 3168 3240 3267 3348 3410 3520 3564 3630 3720 3751 3872 3960 4092 4185 4320 4356 4455 4464 4752 4840 4960 5022 5115 5184 5280 5445 5456 5580 5808 5940 5952 6138 6336 6480 6534 6696 6820 7128 7260 7440 7502 7744 7920 8184 8370 8640 8712 8910 8928 9207 9504 9680 9801 9920 10044 10230 10560 10890 10912 11160 11253 11616 11880 12276 12555 12960 13068 13392 13640 14256 14520 14880 15004 15345 15840 16335 16368 16740 17424 17820 17856 18414 18755 19008 19360 19602 20088 20460 21780 21824 22320 22506 23232 23760 24552 25110 25920 26136 26784 27280 27621 28512 29040 29760 30008 30690 31680 32670 32736 33480 33759 34848 35640 36828 37510 38720 39204 40176 40920 43560 44640 45012 46035 47520 49005 49104 50220 52272 53568 54560 55242 56265 57024 58080 60016 61380 65340 65472 66960 67518 69696 71280 73656 75020 78408 80352 81840 87120 89280 90024 92070 95040 98010 98208 100440 101277 104544 109120 110484 112530 116160 120032 122760 130680 133920 135036 138105 142560 147312 150040 156816 160704 163680 168795 174240 180048 184140 196020 196416 200880 202554 209088 220968 225060 240064 245520 261360 267840 270072 276210 285120 294624 300080 303831 313632 327360 337590 348480 360096 368280 392040 401760 405108 441936 450120 491040 506385 522720 540144 552420 589248 600160 607662 627264 675180 720192 736560 784080 803520 810216 883872 900240 982080 1012770 1045440 1080288 1104840 1200320 1215324 1350360 1473120 1519155 1568160 1620432 1767744 1800480 2025540 2160576 2209680 2430648 2700720 2946240 3038310 3136320 3240864 3600960 4051080 4419360 4861296 5401440 6076620 6481728 8102160 8838720 9722592 10802880 12153240 16204320 19445184 24306480 32408640 48612960 97225920
- Sum of all divisors σ(n): 392411712
- Sum of proper divisors (its aliquot sum) s(n): 295185792
- 97225920 is an abundant number, because the sum of its proper divisors (295185792) is greater than itself. Its abundance is 197959872
Bases of 97225920
- Binary: 1011100101110001100110000002
- Hexadecimal: 0x5CB8CC0
- Base-36: 1LVW00
Squares and roots of 97225920
- 97225920 squared (972259202) is 9452879519846400
- 97225920 cubed (972259203) is 919064907966224498688000
-
The
square root of 97225920 is 9860.3204816071 -
The
cube root of 97225920 is 459.8265256401
Scales and comparisons
How big is 97225920?- 97,225,920 seconds is equal to 3 years, 4 weeks, 5 days, 7 hours, 12 minutes.
-
To count from 1 to 97,225,920 would take you about four 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 97225920 cubic inches would be around 38.3 feet tall.
Recreational maths with 97225920
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