122225600
122,225,600 is an even composite number composed of four prime numbers multiplied together.
122225600 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred twenty-six divisors.
Prime factorization of 122225600:
26 × 52 × 72 × 1559
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 1559)See below for interesting mathematical facts about the number 122225600 from the Numbermatics database.
Names of 122225600
- Cardinal: 122225600 can be written as One hundred twenty-two million, two hundred twenty-five thousand, six hundred.
Scientific notation
- Scientific notation: 1.222256 × 108
Factors of 122225600
Divisors of 122225600
- Number of divisors d(n): 126
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 64 70 80 98 100 112 140 160 175 196 200 224 245 280 320 350 392 400 448 490 560 700 784 800 980 1120 1225 1400 1559 1568 1600 1960 2240 2450 2800 3118 3136 3920 4900 5600 6236 7795 7840 9800 10913 11200 12472 15590 15680 19600 21826 24944 31180 38975 39200 43652 49888 54565 62360 76391 77950 78400 87304 99776 109130 124720 152782 155900 174608 218260 249440 272825 305564 311800 349216 381955 436520 498880 545650 611128 623600 698432 763910 873040 1091300 1222256 1247200 1527820 1746080 1909775 2182600 2444512 2494400 3055640 3492160 3819550 4365200 4889024 6111280 7639100 8730400 12222560 15278200 17460800 24445120 30556400 61112800 122225600
- Sum of all divisors σ(n): 350078040
- Sum of proper divisors (its aliquot sum) s(n): 227852440
- 122225600 is an abundant number, because the sum of its proper divisors (227852440) is greater than itself. Its abundance is 105626840
Bases of 122225600
- Binary: 1110100100100000011110000002
- Hexadecimal: 0x74903C0
- Base-36: 20RPVK
Squares and roots of 122225600
- 122225600 squared (1222256002) is 14939097295360000
- 122225600 cubed (1222256003) is 1825940130383753216000000
-
The
square root of 122225600 is 11055.5687325437 -
The
cube root of 122225600 is 496.2730892949
Scales and comparisons
How big is 122225600?- 122,225,600 seconds is equal to 3 years, 46 weeks, 15 hours, 33 minutes, 20 seconds.
-
To count from 1 to 122,225,600 would take you about five 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 122225600 cubic inches would be around 41.4 feet tall.
Recreational maths with 122225600
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