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204320780222724 = 22321122165772
BaseRepresentation
bin101110011101010000100011…
…100001101000000100000100
3222210102212122110220110212100
4232131100203201220010010
5203240042424214111344
62002315400504552100
761015455256243104
oct5635204341500404
9883385573813770
10204320780222724
115a114a57893100
121aaba89ba82630
138a014a010aa99
14386526dc49204
151894cbbbe1569
hexb9d423868104

204320780222724 has 81 divisors (see below), whose sum is σ = 567701060875221. Its totient is φ = 61915102064640.

The previous prime is 204320780222659. The next prime is 204320780222753. The reversal of 204320780222724 is 427222087023402.

The square root of 204320780222724 is 14294082.

It is a perfect power (a square), and thus also a powerful number.

204320780222724 is a `hidden beast` number, since 2 + 0 + 4 + 320 + 7 + 80 + 2 + 227 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 52568735184900 + 151752045037824 = 7250430^2 + 12318768^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 204320780222724.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 943301124 + ... + 943517700.

Almost surely, 2204320780222724 is an apocalyptic number.

204320780222724 is the 14294082-nd square number.

It is an amenable number.

204320780222724 is an abundant number, since it is smaller than the sum of its proper divisors (363380280652497).

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

204320780222724 is an frugal number, since it uses more digits than its factorization.

204320780222724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433186 (or 216593 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 45.

The spelling of 204320780222724 in words is "two hundred four trillion, three hundred twenty billion, seven hundred eighty million, two hundred twenty-two thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4356 216577 433154 649731 866308 1299462 1949193 2382347 2598924 3898386 4764694 7147041 7796772 9529388 14294082 21441123 26205817 28588164 42882246 52411634 78617451 85764492 104823268 157234902 235852353 314469804 471704706 943409412 46905596929 93811193858 140716790787 187622387716 281433581574 422150372361 515961566219 562867163148 844300744722 1031923132438 1547884698657 1688601489444 2063846264876 3095769397314 4643654095971 5675577228409 6191538794628 9287308191942 11351154456818 17026731685227 18574616383884 22702308913636 34053463370454 51080195055681 68106926740908 102160390111362 204320780222724