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226938995460 = 22335544177239
BaseRepresentation
bin1101001101011010011…
…1100100001100000100
3210200202202202110001000
43103112213210030010
512204232340323320
6252130534133300
722252521430242
oct3232647441404
9720682673030
10226938995460
1188276168211
1237b954b1230
1318528490788
14adabba3792
155d834a8c90
hex34d69e4304

226938995460 has 96 divisors (see below), whose sum is σ = 706171334400. Its totient is φ = 60505159680.

The previous prime is 226938995453. The next prime is 226938995471. The reversal of 226938995460 is 64599839622.

226938995460 is a `hidden beast` number, since 2 + 2 + 6 + 9 + 3 + 89 + 9 + 546 + 0 = 666.

It is a super-2 number, since 2×2269389954602 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2899521 + ... + 2976759.

It is an arithmetic number, because the mean of its divisors is an integer number (7355951400).

Almost surely, 2226938995460 is an apocalyptic number.

226938995460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226938995460 is an abundant number, since it is smaller than the sum of its proper divisors (479232338940).

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

226938995460 is a wasteful number, since it uses less digits than its factorization.

226938995460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82698 (or 82690 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 226938995460 in words is "two hundred twenty-six billion, nine hundred thirty-eight million, nine hundred ninety-five thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 5441 10882 16323 21764 27205 32646 48969 54410 65292 77239 81615 97938 108820 146907 154478 163230 195876 231717 244845 293814 308956 326460 386195 463434 489690 587628 695151 734535 772390 926868 979380 1158585 1390302 1469070 1544780 2085453 2317170 2780604 2938140 3475755 4170906 4634340 6951510 8341812 10427265 13903020 20854530 41709060 420257399 840514798 1260772197 1681029596 2101286995 2521544394 3782316591 4202573990 5043088788 6303860985 7564633182 8405147980 11346949773 12607721970 15129266364 18911582955 22693899546 25215443940 37823165910 45387799092 56734748865 75646331820 113469497730 226938995460