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226435368696192 = 2733118135546389
BaseRepresentation
bin110011011111000100010111…
…101101110011100110000000
31002200202000021011122102011000
4303133010113231303212000
5214134404113341234232
62121330550004452000
765460262344611145
oct6337042755634600
91080660234572130
10226435368696192
1166170778520067
12214908369aa000
1399469c0965726
143dcb75d2b63cc
151b2a1848b527c
hexcdf117b73980

226435368696192 has 128 divisors (see below), whose sum is σ = 668355524892000. Its totient is φ = 75472053184512.

The previous prime is 226435368696079. The next prime is 226435368696217. The reversal of 226435368696192 is 291696863534622.

226435368696192 is a `hidden beast` number, since 2 + 2 + 6 + 4 + 3 + 536 + 86 + 9 + 6 + 1 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 226435368696192.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38052534 + ... + 43598922.

Almost surely, 2226435368696192 is an apocalyptic number.

It is an amenable number.

226435368696192 is an abundant number, since it is smaller than the sum of its proper divisors (441920156195808).

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

226435368696192 is a wasteful number, since it uses less digits than its factorization.

226435368696192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5558225 (or 5558207 counting only the distinct ones).

The product of its digits is 1209323520, while the sum is 72.

The spelling of 226435368696192 in words is "two hundred twenty-six trillion, four hundred thirty-five billion, three hundred sixty-eight million, six hundred ninety-six thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 11813 23626 35439 47252 70878 94504 106317 141756 189008 212634 283512 318951 378016 425268 567024 637902 756032 850536 1134048 1275804 1512064 1701072 2268096 2551608 3402144 4536192 5103216 5546389 6804288 10206432 11092778 13608576 16639167 20412864 22185556 33278334 40825728 44371112 49917501 66556668 88742224 99835002 133113336 149752503 177484448 199670004 266226672 299505006 354968896 399340008 532453344 599010012 709937792 798680016 1064906688 1198020024 1597360032 2129813376 2396040048 3194720064 4792080096 6389440128 9584160192 19168320384 65519493257 131038986514 196558479771 262077973028 393116959542 524155946056 589675439313 786233919084 1048311892112 1179350878626 1572467838168 1769026317939 2096623784224 2358701757252 3144935676336 3538052635878 4193247568448 4717403514504 6289871352672 7076105271756 8386495136896 9434807029008 12579742705344 14152210543512 18869614058016 25159485410688 28304421087024 37739228116032 56608842174048 75478456232064 113217684348096 226435368696192