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64103226 = 231117193197
BaseRepresentation
bin1111010010001…
…0001100111010
311110121210002120
43310202030322
5112402300401
610205542110
71405603605
oct364421472
9143553076
1064103226
1133203780
1219574936
1310385805
14872933c
155963836
hex3d2233a

64103226 has 128 divisors (see below), whose sum is σ = 162570240. Its totient is φ = 16588800.

The previous prime is 64103201. The next prime is 64103233. The reversal of 64103226 is 62230146.

64103226 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 64103196 and 64103205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 660810 + ... + 660906.

It is an arithmetic number, because the mean of its divisors is an integer number (1270080).

Almost surely, 264103226 is an apocalyptic number.

64103226 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 64103226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81285120).

64103226 is an abundant number, since it is smaller than the sum of its proper divisors (98467014).

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

64103226 is a wasteful number, since it uses less digits than its factorization.

64103226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 64103226 is about 8006.4490256293. The cubic root of 64103226 is about 400.2149386494.

Subtracting from 64103226 its reverse (62230146), we obtain a triangular number (1873080 = T1935).

The spelling of 64103226 in words is "sixty-four million, one hundred three thousand, two hundred twenty-six".

Divisors: 1 2 3 6 11 17 19 22 31 33 34 38 51 57 62 66 93 97 102 114 186 187 194 209 291 323 341 374 418 527 561 582 589 627 646 682 969 1023 1054 1067 1122 1178 1254 1581 1649 1767 1843 1938 2046 2134 3007 3162 3201 3298 3534 3553 3686 4947 5529 5797 6014 6402 6479 7106 9021 9894 10013 10659 11058 11594 12958 17391 18042 18139 19437 20026 20273 21318 30039 31331 33077 34782 36278 38874 40546 51119 54417 57133 60078 60819 62662 66154 93993 99231 102238 108834 110143 114266 121638 153357 171399 187986 198462 220286 306714 330429 342798 344641 562309 628463 660858 689282 971261 1033923 1124618 1256926 1686927 1885389 1942522 2067846 2913783 3373854 3770778 5827566 10683871 21367742 32051613 64103226