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226151188728976 = 2472127242292
BaseRepresentation
bin110011011010111011101101…
…010001010000110010010000
31002122201211202011220022121001
4303122323231101100302100
5214120230113303311401
62120552231041511344
765430612165005200
oct6332735521206220
91078654664808531
10226151188728976
11660711a9319625
1221445747642554
139925c7252b084
143dbbac125a400
151b22aa0eed601
hexcdaeed450c90

226151188728976 has 135 divisors (see below), whose sum is σ = 513872091897849. Its totient is φ = 96136035214464.

The previous prime is 226151188728973. The next prime is 226151188728991. The reversal of 226151188728976 is 679827881151622.

The square root of 226151188728976 is 15038324.

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

It can be written as a sum of positive squares in only one way, i.e., 225296377535376 + 854811193600 = 15009876^2 + 924560^2 .

It is a super-2 number, since 2×2261511887289762 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 226151188728899 and 226151188728908.

It is not an unprimeable number, because it can be changed into a prime (226151188728973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 53476278030 + ... + 53476282258.

Almost surely, 2226151188728976 is an apocalyptic number.

226151188728976 is the 15038324-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226151188728976

226151188728976 is an abundant number, since it is smaller than the sum of its proper divisors (287720903168873).

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

226151188728976 is an frugal number, since it uses more digits than its factorization.

226151188728976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8734 (or 4365 counting only the distinct ones).

The product of its digits is 325140480, while the sum is 73.

The spelling of 226151188728976 in words is "two hundred twenty-six trillion, one hundred fifty-one billion, one hundred eighty-eight million, seven hundred twenty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 127 196 254 392 508 784 889 1016 1778 2032 3556 4229 6223 7112 8458 12446 14224 16129 16916 24892 29603 32258 33832 49784 59206 64516 67664 99568 112903 118412 129032 207221 225806 236824 258064 414442 451612 473648 537083 790321 828884 903224 1074166 1580642 1657768 1806448 2148332 3161284 3315536 3759581 4296664 6322568 7519162 8593328 12645136 15038324 17884441 26317067 30076648 35768882 52634134 60153296 68209541 71537764 105268268 125191087 136419082 143075528 210536536 250382174 272838164 286151056 421073072 477466787 500764348 545676328 876337609 954933574 1001528696 1091352656 1752675218 1909867148 2003057392 2271324007 3342267509 3505350436 3819734296 4542648014 6684535018 7010700872 7639468592 9085296028 13369070036 14021401744 15899268049 18170592056 26738140072 31798536098 36341184112 53476280144 63597072196 111294876343 127194144392 222589752686 254388288784 288458148889 445179505372 576916297778 890359010744 1153832595556 1780718021488 2019207042223 2307665191112 4038414084446 4615330382224 8076828168892 14134449295561 16153656337784 28268898591122 32307312675568 56537797182244 113075594364488 226151188728976