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226564025516664 = 233115916389237503
BaseRepresentation
bin110011100000111100001100…
…010000101000001001111000
31002201012022100111011001211220
4303200330030100220021320
5214144011111013013124
62121510024302552040
765502465521545203
oct6340741420501170
91081168314131756
10226564025516664
116621029998a570
12214b1761898620
139955b85494474
143dd3a8622093a
151b2d6b4859879
hexce0f0c428278

226564025516664 has 128 divisors (see below), whose sum is σ = 632229868339200. Its totient is φ = 67078045503360.

The previous prime is 226564025516651. The next prime is 226564025516669. The reversal of 226564025516664 is 466615520465622.

It is a junction number, because it is equal to n+sod(n) for n = 226564025516598 and 226564025516607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226564025516669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42079864 + ... + 47157639.

It is an arithmetic number, because the mean of its divisors is an integer number (4939295846400).

Almost surely, 2226564025516664 is an apocalyptic number.

226564025516664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

226564025516664 is an abundant number, since it is smaller than the sum of its proper divisors (405665842822536).

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

226564025516664 is a wasteful number, since it uses less digits than its factorization.

226564025516664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89237745 (or 89237741 counting only the distinct ones).

The product of its (nonzero) digits is 124416000, while the sum is 60.

The spelling of 226564025516664 in words is "two hundred twenty-six trillion, five hundred sixty-four billion, twenty-five million, five hundred sixteen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 59 66 88 118 132 163 177 236 264 326 354 472 489 649 652 708 978 1298 1304 1416 1793 1947 1956 2596 3586 3894 3912 5192 5379 7172 7788 9617 10758 14344 15576 19234 21516 28851 38468 43032 57702 76936 105787 115404 211574 230808 317361 423148 634722 846296 1269444 2538888 89237503 178475006 267712509 356950012 535425018 713900024 981612533 1070850036 1963225066 2141700072 2944837599 3926450132 5265012677 5889675198 7852900264 10530025354 11779350396 14545712989 15795038031 21060050708 23558700792 29091425978 31590076062 42120101416 43637138967 57915139447 58182851956 63180152124 87274277934 115830278894 116365703912 126360304248 160002842879 173745418341 174548555868 231660557788 320005685758 347490836682 349097111736 463321115576 480008528637 640011371516 694981673364 858197066351 960017057274 1280022743032 1389963346728 1716394132702 1920034114548 2574591199053 3432788265404 3840068229096 5149182398106 6865576530808 9440167729861 10298364796212 18880335459722 20596729592424 28320503189583 37760670919444 56641006379166 75521341838888 113282012758332 226564025516664