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2286440188740 = 22325711493119831
BaseRepresentation
bin100001010001011010011…
…101001000101101000100
322002120200221121002120100
4201101122131020231010
5244430112142014430
64510213124204100
7324122055636111
oct41213235105504
98076627532510
102286440188740
118017459741a4
1230b164239630
131377c2027106
147c942b81908
153e720009960
hex2145a748b44

2286440188740 has 144 divisors (see below), whose sum is σ = 7037988362496. Its totient is φ = 600722169600.

The previous prime is 2286440188729. The next prime is 2286440188763. The reversal of 2286440188740 is 478810446822.

2286440188740 is a `hidden beast` number, since 2 + 2 + 86 + 440 + 1 + 8 + 87 + 40 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19020625 + ... + 19140455.

It is an arithmetic number, because the mean of its divisors is an integer number (48874919184).

Almost surely, 22286440188740 is an apocalyptic number.

2286440188740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2286440188740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3518994181248).

2286440188740 is an abundant number, since it is smaller than the sum of its proper divisors (4751548173756).

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

2286440188740 is a wasteful number, since it uses less digits than its factorization.

2286440188740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121410 (or 121405 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 54.

The spelling of 2286440188740 in words is "two trillion, two hundred eighty-six billion, four hundred forty million, one hundred eighty-eight thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 71 90 142 180 213 284 355 426 639 710 852 1065 1278 1420 1493 2130 2556 2986 3195 4260 4479 5972 6390 7465 8958 12780 13437 14930 17916 22395 26874 29860 44790 53748 67185 89580 106003 119831 134370 212006 239662 268740 318009 359493 424012 479324 530015 599155 636018 718986 954027 1060030 1078479 1198310 1272036 1437972 1590045 1797465 1908054 2120060 2156958 2396620 3180090 3594930 3816108 4313916 4770135 5392395 6360180 7189860 8508001 9540270 10784790 17016002 19080540 21569580 25524003 34032004 42540005 51048006 76572009 85080010 102096012 127620015 153144018 170160020 178907683 255240030 306288036 357815366 382860045 510480060 536723049 715630732 765720090 894538415 1073446098 1531440180 1610169147 1789076830 2146892196 2683615245 3220338294 3578153660 5367230490 6440676588 8050845735 10734460980 12702445493 16101691470 25404890986 32203382940 38107336479 50809781972 63512227465 76214672958 114322009437 127024454930 152429345916 190536682395 228644018874 254048909860 381073364790 457288037748 571610047185 762146729580 1143220094370 2286440188740