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226311651745956 = 22337878334083347
BaseRepresentation
bin110011011101010001001001…
…100111000110000010100100
31002200022011221010101011111000
4303131101021213012002210
5214130342230321332311
62121154045413113300
765445322463104140
oct6335211147060244
91080264833334430
10226311651745956
1166123261529247
122147086a328830
1399381356a152a
143dc578445a220
151b26d4344b056
hexcdd4499c60a4

226311651745956 has 96 divisors (see below), whose sum is σ = 670629408583680. Its totient is φ = 64653108027552.

The previous prime is 226311651745939. The next prime is 226311651746029. The reversal of 226311651745956 is 659547156113622.

226311651745956 is a `hidden beast` number, since 2 + 2 + 6 + 3 + 1 + 16 + 517 + 4 + 59 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 226311651745893 and 226311651745902.

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, 10401726 + ... + 23681621.

It is an arithmetic number, because the mean of its divisors is an integer number (6985723006080).

Almost surely, 2226311651745956 is an apocalyptic number.

It is an amenable number.

226311651745956 is an abundant number, since it is smaller than the sum of its proper divisors (444317756837724).

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

226311651745956 is a wasteful number, since it uses less digits than its factorization.

226311651745956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34092150 (or 34092142 counting only the distinct ones).

The product of its digits is 81648000, while the sum is 63.

The spelling of 226311651745956 in words is "two hundred twenty-six trillion, three hundred eleven billion, six hundred fifty-one million, seven hundred forty-five thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 8783 17566 26349 35132 52698 61481 79047 105396 122962 158094 184443 237141 245924 316188 368886 474282 553329 737772 948564 1106658 1659987 2213316 3319974 6639948 34083347 68166694 102250041 136333388 204500082 238583429 306750123 409000164 477166858 613500246 715750287 920250369 954333716 1227000492 1431500574 1840500738 2147250861 2863001148 3681001476 4294501722 6441752583 8589003444 12883505166 25767010332 299354036701 598708073402 898062110103 1197416146804 1796124220206 2095478256907 2694186330309 3592248440412 4190956513814 5388372660618 6286434770721 8082558990927 8381913027628 10776745321236 12572869541442 16165117981854 18859304312163 25145739082884 32330235963708 37718608624326 56577912936489 75437217248652 113155825872978 226311651745956