221328000
221,328,000 is an even composite number composed of five prime numbers multiplied together.
221328000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 221328000:
27 × 32 × 53 × 29 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 29 × 53)See below for interesting mathematical facts about the number 221328000 from the Numbermatics database.
Names of 221328000
- Cardinal: 221328000 can be written as Two hundred twenty-one million, three hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 2.21328 × 108
Factors of 221328000
Divisors of 221328000
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 29 30 32 36 40 45 48 50 53 58 60 64 72 75 80 87 90 96 100 106 116 120 125 128 144 145 150 159 160 174 180 192 200 212 225 232 240 250 261 265 288 290 300 318 320 348 360 375 384 400 424 435 450 464 477 480 500 522 530 576 580 600 636 640 696 720 725 750 795 800 848 870 900 928 954 960 1000 1044 1060 1125 1152 1160 1200 1272 1305 1325 1392 1440 1450 1500 1537 1590 1600 1696 1740 1800 1856 1908 1920 2000 2088 2120 2175 2250 2320 2385 2400 2544 2610 2650 2784 2880 2900 3000 3074 3180 3200 3392 3480 3600 3625 3712 3816 3975 4000 4176 4240 4350 4500 4611 4640 4770 4800 5088 5220 5300 5568 5760 5800 6000 6148 6360 6525 6625 6784 6960 7200 7250 7632 7685 7950 8000 8352 8480 8700 9000 9222 9280 9540 9600 10176 10440 10600 10875 11136 11600 11925 12000 12296 12720 13050 13250 13833 13920 14400 14500 15264 15370 15900 16000 16704 16960 17400 18000 18444 18560 19080 19875 20352 20880 21200 21750 23055 23200 23850 24000 24592 25440 26100 26500 27666 27840 28800 29000 30528 30740 31800 32625 33408 33920 34800 36000 36888 38160 38425 39750 41760 42400 43500 46110 46400 47700 48000 49184 50880 52200 53000 55332 55680 58000 59625 61056 61480 63600 65250 69165 69600 72000 73776 76320 76850 79500 83520 84800 87000 92220 92800 95400 98368 101760 104400 106000 110664 115275 116000 119250 122960 127200 130500 138330 139200 144000 147552 152640 153700 159000 167040 169600 174000 184440 190800 192125 196736 208800 212000 221328 230550 232000 238500 245920 254400 261000 276660 278400 295104 305280 307400 318000 345825 348000 368880 381600 384250 417600 424000 442656 461100 464000 477000 491840 508800 522000 553320 576375 590208 614800 636000 691650 696000 737760 763200 768500 835200 848000 885312 922200 954000 983680 1044000 1106640 1152750 1229600 1272000 1383300 1392000 1475520 1526400 1537000 1729125 1770624 1844400 1908000 2088000 2213280 2305500 2459200 2544000 2766600 2951040 3074000 3458250 3688800 3816000 4176000 4426560 4611000 4918400 5533200 6148000 6916500 7377600 7632000 8853120 9222000 11066400 12296000 13833000 14755200 18444000 22132800 24592000 27666000 36888000 44265600 55332000 73776000 110664000 221328000
- Sum of all divisors σ(n): 837766800
- Sum of proper divisors (its aliquot sum) s(n): 616438800
- 221328000 is an abundant number, because the sum of its proper divisors (616438800) is greater than itself. Its abundance is 395110800
Bases of 221328000
- Binary: 11010011000100110010100000002
- Hexadecimal: 0xD313280
- Base-36: 3NRTS0
Squares and roots of 221328000
- 221328000 squared (2213280002) is 48986083584000000
- 221328000 cubed (2213280003) is 10841991907479552000000000
-
The
square root of 221328000 is 14877.0964909151 -
The
cube root of 221328000 is 604.8933172545
Scales and comparisons
How big is 221328000?- 221,328,000 seconds is equal to 7 years, 1 week, 6 days, 16 hours.
-
To count from 1 to 221,328,000 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 221328000 cubic inches would be around 50.4 feet tall.
Recreational maths with 221328000
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