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4105170225 = 32521343127257
BaseRepresentation
bin1111010010101111…
…1110110100110001
3101121002121020212200
43310223332310301
531401410421400
61515204013413
7203505241212
oct36453766461
911532536780
104105170225
111817297172
12966991269
13505655610
142ad2cd409
151905ebb00
hexf4afed31

4105170225 has 144 divisors (see below), whose sum is σ = 8198141952. Its totient is φ = 1950842880.

The previous prime is 4105170211. The next prime is 4105170227. The reversal of 4105170225 is 5220715014.

4105170225 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4105170225 - 26 = 4105170161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4105170227) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15973297 + ... + 15973553.

Almost surely, 24105170225 is an apocalyptic number.

4105170225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4105170225 is a deficient number, since it is larger than the sum of its proper divisors (4092971727).

4105170225 is a wasteful number, since it uses less digits than its factorization.

4105170225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 4105170225 is about 64071.6023289569. The cubic root of 4105170225 is about 1601.1931497384.

Adding to 4105170225 its reverse (5220715014), we get a palindrome (9325885239).

The spelling of 4105170225 in words is "four billion, one hundred five million, one hundred seventy thousand, two hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 43 45 65 75 117 127 129 195 215 225 257 325 381 387 559 585 635 645 771 975 1075 1143 1285 1651 1677 1905 1935 2313 2795 2925 3175 3225 3341 3855 4953 5031 5461 5715 6425 8255 8385 9525 9675 10023 11051 11565 13975 14859 16383 16705 19275 24765 25155 27305 28575 30069 32639 33153 41275 41925 49149 50115 55255 57825 70993 74295 81915 83525 97917 99459 123825 125775 136525 143663 150345 163195 165765 212979 245745 250575 276275 293751 354965 371475 409575 424307 430989 489585 497295 638937 718315 751725 815975 828825 1064895 1228725 1272921 1292967 1403477 1468755 1774825 2121535 2154945 2447925 2486475 3194685 3591575 3818763 4210431 5324475 6364605 6464835 7017385 7343775 10607675 10774725 12631293 15973425 18245201 19093815 21052155 31823025 32324175 35086925 54735603 63156465 91226005 95469075 105260775 164206809 273678015 315782325 456130025 821034045 1368390075 4105170225