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2241142200 = 23325211113189
BaseRepresentation
bin1000010110010101…
…0001110110111000
312210012002211010200
42011211101312320
514042213022300
61010215242200
7106352252163
oct20545216670
95705084120
102241142200
11a50080340
12526679360
1329940805b
1417390aada
15d1b47200
hex85951db8

2241142200 has 144 divisors (see below), whose sum is σ = 8210802600. Its totient is φ = 543302400.

The previous prime is 2241142177. The next prime is 2241142213. The reversal of 2241142200 is 22411422.

2241142200 is a `hidden beast` number, since 2 + 241 + 1 + 422 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36795 + ... + 76394.

Almost surely, 22241142200 is an apocalyptic number.

2241142200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2241142200 is an abundant number, since it is smaller than the sum of its proper divisors (5969660400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2241142200 is a wasteful number, since it uses less digits than its factorization.

2241142200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113222 (or 113210 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2241142200 is about 47340.7034168273. The cubic root of 2241142200 is about 1308.6488798537.

Adding to 2241142200 its reverse (22411422), we get a palindrome (2263553622).

2241142200 divided by its reverse (22411422) gives a square (100 = 102).

It can be divided in two parts, 2241 and 142200, that added together give a palindrome (144441).

The spelling of 2241142200 in words is "two billion, two hundred forty-one million, one hundred forty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 25 30 33 36 40 44 45 50 55 60 66 72 75 88 90 99 100 110 120 132 150 165 180 198 200 220 225 264 275 300 330 360 396 440 450 495 550 600 660 792 825 900 990 1100 1320 1650 1800 1980 2200 2475 3300 3960 4950 6600 9900 19800 113189 226378 339567 452756 565945 679134 905512 1018701 1131890 1245079 1358268 1697835 2037402 2263780 2490158 2716536 2829725 3395670 3735237 4074804 4527560 4980316 5093505 5659450 6225395 6791340 7470474 8149608 8489175 9960632 10187010 11205711 11318900 12450790 13582680 14940948 16978350 18676185 20374020 22411422 22637800 24901580 25467525 29881896 31126975 33956700 37352370 40748040 44822844 49803160 50935050 56028555 62253950 67913400 74704740 89645688 93380925 101870100 112057110 124507900 149409480 186761850 203740200 224114220 249015800 280142775 373523700 448228440 560285550 747047400 1120571100 2241142200