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226171761114 = 231317434199467
BaseRepresentation
bin1101001010100011100…
…0110011000111011010
3210121210022001220101010
43102220320303013122
512201144432323424
6251522445434350
722224514151355
oct3225070630732
9717708056333
10226171761114
1187a12076742
1237a0056b9b6
1318435540660
14ad37d2729c
155d3ae55229
hex34a8e331da

226171761114 has 128 divisors (see below), whose sum is σ = 529105167360. Its totient is φ = 63815076864.

The previous prime is 226171761103. The next prime is 226171761149. The reversal of 226171761114 is 411167171622.

226171761114 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23885809 + ... + 23895275.

It is an arithmetic number, because the mean of its divisors is an integer number (4133634120).

Almost surely, 2226171761114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226171761114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264552583680).

226171761114 is an abundant number, since it is smaller than the sum of its proper divisors (302933406246).

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

226171761114 is a wasteful number, since it uses less digits than its factorization.

226171761114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9964.

The product of its digits is 28224, while the sum is 39.

The spelling of 226171761114 in words is "two hundred twenty-six billion, one hundred seventy-one million, seven hundred sixty-one thousand, one hundred fourteen".

Divisors: 1 2 3 6 13 17 26 34 39 43 51 78 86 102 129 221 258 419 442 559 663 731 838 1118 1257 1326 1462 1677 2193 2514 3354 4386 5447 7123 9467 9503 10894 14246 16341 18017 18934 19006 21369 28401 28509 32682 36034 42738 54051 56802 57018 92599 108102 123071 160939 185198 234221 246142 277797 306289 321878 369213 407081 468442 482817 555594 612578 702663 738426 814162 918867 965634 1221243 1405326 1837734 2092207 2442486 3966673 3981757 4184414 5292053 6276621 6920377 7933346 7963514 10584106 11900019 11945271 12553242 13840754 15876159 20761131 23800038 23890542 31752318 41522262 51566749 67433441 89964901 103133498 134866882 154700247 170566939 179929802 202300323 269894703 309400494 341133878 404600646 511700817 539789406 876634733 1023401634 1753269466 2217370207 2629904199 2899637963 4434740414 5259808398 5799275926 6652110621 8698913889 13304221242 17397827778 37695293519 75390587038 113085880557 226171761114