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226265086896 = 24319417976597
BaseRepresentation
bin1101001010111001110…
…0110011101110110000
3210122000210200100021120
43102232130303232300
512201342330240041
6251540022022240
722230026335242
oct3225634635660
9718023610246
10226265086896
1187a5a819792
1237a27877980
131844b988304
14ad4649c092
155d4423c366
hex34ae733bb0

226265086896 has 160 divisors (see below), whose sum is σ = 638275814400. Its totient is φ = 68826101760.

The previous prime is 226265086891. The next prime is 226265086897. The reversal of 226265086896 is 698680562622.

It is not an unprimeable number, because it can be changed into a prime (226265086891) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2915670 + ... + 2992266.

It is an arithmetic number, because the mean of its divisors is an integer number (3989223840).

Almost surely, 2226265086896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226265086896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319137907200).

226265086896 is an abundant number, since it is smaller than the sum of its proper divisors (412010727504).

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

226265086896 is a wasteful number, since it uses less digits than its factorization.

226265086896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76747 (or 76741 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 60.

The spelling of 226265086896 in words is "two hundred twenty-six billion, two hundred sixty-five million, eighty-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 41 48 57 76 79 82 114 123 152 158 164 228 237 246 304 316 328 456 474 492 632 656 779 912 948 984 1264 1501 1558 1896 1968 2337 3002 3116 3239 3792 4503 4674 6004 6232 6478 9006 9348 9717 12008 12464 12956 18012 18696 19434 24016 25912 36024 37392 38868 51824 61541 72048 76597 77736 123082 153194 155472 184623 229791 246164 306388 369246 459582 492328 612776 738492 919164 984656 1225552 1455343 1476984 1838328 2910686 2953968 3140477 3676656 4366029 5821372 6051163 6280954 8732058 9421431 11642744 12102326 12561908 17464116 18153489 18842862 23285488 24204652 25123816 34928232 36306978 37685724 48409304 50247632 59669063 69856464 72613956 75371448 96818608 114972097 119338126 145227912 150742896 179007189 229944194 238676252 248097683 290455824 344916291 358014378 459888388 477352504 496195366 689832582 716028756 744293049 919776776 954705008 992390732 1379665164 1432057512 1488586098 1839553552 1984781464 2759330328 2864115024 2977172196 3969562928 4713855977 5518660656 5954344392 9427711954 11908688784 14141567931 18855423908 28283135862 37710847816 56566271724 75421695632 113132543448 226265086896