230148216
230,148,216 is an even composite number composed of five prime numbers multiplied together.
230148216 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 230148216:
23 × 36 × 19 × 31 × 67
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 19 × 31 × 67)See below for interesting mathematical facts about the number 230148216 from the Numbermatics database.
Names of 230148216
- Cardinal: 230148216 can be written as Two hundred thirty million, one hundred forty-eight thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 2.30148216 × 108
Factors of 230148216
Divisors of 230148216
- Number of divisors d(n): 224
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Complete list of divisors:
1 2 3 4 6 8 9 12 18 19 24 27 31 36 38 54 57 62 67 72 76 81 93 108 114 124 134 152 162 171 186 201 216 228 243 248 268 279 324 342 372 402 456 486 513 536 558 589 603 648 684 729 744 804 837 972 1026 1116 1178 1206 1273 1368 1458 1539 1608 1674 1767 1809 1944 2052 2077 2232 2356 2412 2511 2546 2916 3078 3348 3534 3618 3819 4104 4154 4617 4712 4824 5022 5092 5301 5427 5832 6156 6231 6696 7068 7236 7533 7638 8308 9234 10044 10184 10602 10854 11457 12312 12462 13851 14136 14472 15066 15276 15903 16281 16616 18468 18693 20088 21204 21708 22599 22914 24924 27702 30132 30552 31806 32562 34371 36936 37386 39463 42408 43416 45198 45828 47709 48843 49848 55404 56079 60264 63612 65124 68742 74772 78926 90396 91656 95418 97686 103113 110808 112158 118389 127224 130248 137484 143127 149544 157852 168237 180792 190836 195372 206226 224316 236778 274968 286254 309339 315704 336474 355167 381672 390744 412452 429381 448632 473556 504711 572508 618678 672948 710334 824904 858762 928017 947112 1009422 1065501 1145016 1237356 1345896 1420668 1514133 1717524 1856034 2018844 2131002 2474712 2841336 3028266 3196503 3435048 3712068 4037688 4262004 6056532 6393006 7424136 8524008 9589509 12113064 12786012 19179018 25572024 28768527 38358036 57537054 76716072 115074108 230148216
- Sum of all divisors σ(n): 713510400
- Sum of proper divisors (its aliquot sum) s(n): 483362184
- 230148216 is an abundant number, because the sum of its proper divisors (483362184) is greater than itself. Its abundance is 253213968
Bases of 230148216
- Binary: 11011011011111001000011110002
- Hexadecimal: 0xDB7C878
- Base-36: 3T0VI0
Squares and roots of 230148216
- 230148216 squared (2301482162) is 52968201327982656
- 230148216 cubed (2301482163) is 12190537040364039157341696
-
The
square root of 230148216 is 15170.6366379265 -
The
cube root of 230148216 is 612.8241491777
Scales and comparisons
How big is 230148216?- 230,148,216 seconds is equal to 7 years, 16 weeks, 3 days, 18 hours, 3 minutes, 36 seconds.
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To count from 1 to 230,148,216 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 230148216 cubic inches would be around 51.1 feet tall.
Recreational maths with 230148216
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