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221230200241320 = 23356130798445293
BaseRepresentation
bin110010010011010100101011…
…011111111011110010101000
31002000022101211000212220000220
4302103110223133323302220
5212444113422230210240
62102303430112130040
764412232412012314
oct6223245337736250
91060271730786026
10221230200241320
11645442236387a6
122098ba8a536920
139659bc286279a
143c8b85525ab44
151a89a8a0e05d0
hexc9352b7fbca8

221230200241320 has 128 divisors (see below), whose sum is σ = 676768080320640. Its totient is φ = 57838577955840.

The previous prime is 221230200241189. The next prime is 221230200241409. The reversal of 221230200241320 is 23142002032122.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46975407 + ... + 51469886.

It is an arithmetic number, because the mean of its divisors is an integer number (5287250627505).

Almost surely, 2221230200241320 is an apocalyptic number.

221230200241320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221230200241320 is an abundant number, since it is smaller than the sum of its proper divisors (455537880079320).

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

221230200241320 is a wasteful number, since it uses less digits than its factorization.

221230200241320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98445675 (or 98445671 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 221230200241320 its reverse (23142002032122), we get a palindrome (244372202273442).

The spelling of 221230200241320 in words is "two hundred twenty-one trillion, two hundred thirty billion, two hundred million, two hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 61 120 122 183 244 305 307 366 488 610 614 732 915 921 1220 1228 1464 1535 1830 1842 2440 2456 3070 3660 3684 4605 6140 7320 7368 9210 12280 18420 18727 36840 37454 56181 74908 93635 112362 149816 187270 224724 280905 374540 449448 561810 749080 1123620 2247240 98445293 196890586 295335879 393781172 492226465 590671758 787562344 984452930 1181343516 1476679395 1968905860 2362687032 2953358790 3937811720 5906717580 6005162873 11813435160 12010325746 18015488619 24020651492 30025814365 30222704951 36030977238 48041302984 60051628730 60445409902 72061954476 90077443095 90668114853 120103257460 120890819804 144123908952 151113524755 180154886190 181336229706 240206514920 241781639608 302227049510 360309772380 362672459412 453340574265 604454099020 720619544760 725344918824 906681148530 1208908198040 1813362297060 1843585002011 3626724594120 3687170004022 5530755006033 7374340008044 9217925010055 11061510012066 14748680016088 18435850020110 22123020024132 27653775030165 36871700040220 44246040048264 55307550060330 73743400080440 110615100120660 221230200241320