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220504240345320 = 233254099149429563
BaseRepresentation
bin110010001000110000100100…
…111010101101000011101000
31001220201222222122021010201100
4302020300210322231003220
5212400220141012022240
62100550125524121400
764305622430503641
oct6210604472550350
91056658878233640
10220504240345320
1164294361160aa8
1220893247b36260
1396065cb054149
143c646683006c8
151a75c4be56e30
hexc88c24ead0e8

220504240345320 has 96 divisors (see below), whose sum is σ = 716813618508000. Its totient is φ = 58786785127296.

The previous prime is 220504240345289. The next prime is 220504240345351. The reversal of 220504240345320 is 23543042405022.

220504240345320 is a `hidden beast` number, since 2 + 2 + 0 + 50 + 4 + 2 + 40 + 34 + 532 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (220504240345289) and next prime (220504240345351).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73239142 + ... + 76190421.

It is an arithmetic number, because the mean of its divisors is an integer number (7466808526125).

Almost surely, 2220504240345320 is an apocalyptic number.

220504240345320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220504240345320 is an abundant number, since it is smaller than the sum of its proper divisors (496309378162680).

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

220504240345320 is a wasteful number, since it uses less digits than its factorization.

220504240345320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149433679 (or 149433672 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

The spelling of 220504240345320 in words is "two hundred twenty trillion, five hundred four billion, two hundred forty million, three hundred forty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 4099 8198 12297 16396 20495 24594 32792 36891 40990 49188 61485 73782 81980 98376 122970 147564 163960 184455 245940 295128 368910 491880 737820 1475640 149429563 298859126 448288689 597718252 747147815 896577378 1195436504 1344866067 1494295630 1793154756 2241443445 2689732134 2988591260 3586309512 4482886890 5379464268 5977182520 6724330335 8965773780 10758928536 13448660670 17931547560 26897321340 53794642680 612511778737 1225023557474 1837535336211 2450047114948 3062558893685 3675070672422 4900094229896 5512606008633 6125117787370 7350141344844 9187676681055 11025212017266 12250235574740 14700282689688 18375353362110 22050424034532 24500471149480 27563030043165 36750706724220 44100848069064 55126060086330 73501413448440 110252120172660 220504240345320