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226103365800 = 233252139662537
BaseRepresentation
bin1101001010010011001…
…1111001000010101000
3210121121112101001122100
43102210303321002220
512201024430201200
6251512003453400
722223023620204
oct3224463710250
9717545331570
10226103365800
1187987501294
12379a1687260
1318424314360
14ad2cc01b04
155d34e44d00
hex34a4cf90a8

226103365800 has 144 divisors (see below), whose sum is σ = 817740590940. Its totient is φ = 55656207360.

The previous prime is 226103365777. The next prime is 226103365811. The reversal of 226103365800 is 8563301622.

It is a happy number.

226103365800 is a `hidden beast` number, since 2 + 2 + 610 + 3 + 36 + 5 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 53158835844 + 172944529956 = 230562^2 + 415866^2 .

It is a super-2 number, since 2×2261033658002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 35 ways as a sum of consecutive naturals, for example, 4807869 + ... + 4854668.

Almost surely, 2226103365800 is an apocalyptic number.

226103365800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226103365800 is an abundant number, since it is smaller than the sum of its proper divisors (591637225140).

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

226103365800 is a wasteful number, since it uses less digits than its factorization.

226103365800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9662572 (or 9662560 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 226103365800 in words is "two hundred twenty-six billion, one hundred three million, three hundred sixty-five thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 25 26 30 36 39 40 45 50 52 60 65 72 75 78 90 100 104 117 120 130 150 156 180 195 200 225 234 260 300 312 325 360 390 450 468 520 585 600 650 780 900 936 975 1170 1300 1560 1800 1950 2340 2600 2925 3900 4680 5850 7800 11700 23400 9662537 19325074 28987611 38650148 48312685 57975222 77300296 86962833 96625370 115950444 125612981 144938055 173925666 193250740 231900888 241563425 251225962 289876110 347851332 376838943 386501480 434814165 483126850 502451924 579752220 628064905 695702664 724690275 753677886 869628330 966253700 1004903848 1130516829 1159504440 1256129810 1449380550 1507355772 1739256660 1884194715 1932507400 2174070825 2261033658 2512259620 2898761100 3014711544 3140324525 3478513320 3768389430 4348141650 4522067316 5024519240 5652584145 5797522200 6280649050 7536778860 8696283300 9044134632 9420973575 11305168290 12561298100 15073557720 17392566600 18841947150 22610336580 25122596200 28262920725 37683894300 45220673160 56525841450 75367788600 113051682900 226103365800