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223075353105705 = 35194331267582173
BaseRepresentation
bin110010101110001011000111…
…001011100001010100101001
31002020211210110220112020002010
4302232023013023201110221
5213214331310343340310
62110235222533430133
764662443130411402
oct6256130713412451
91066753426466063
10223075353105705
11650957a92a1731
12210295b849b349
139761bb957b709
143d12c946ca9a9
151abca7dbd0320
hexcae2c72e1529

223075353105705 has 64 divisors (see below), whose sum is σ = 384456159267840. Its totient is φ = 110086843620096.

The previous prime is 223075353105679. The next prime is 223075353105721. The reversal of 223075353105705 is 507501353570322.

It is not a de Polignac number, because 223075353105705 - 26 = 223075353105641 is a prime.

It is a super-3 number, since 3×2230753531057053 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 382885999 + ... + 383468171.

It is an arithmetic number, because the mean of its divisors is an integer number (6007127488560).

Almost surely, 2223075353105705 is an apocalyptic number.

It is an amenable number.

223075353105705 is a deficient number, since it is larger than the sum of its proper divisors (161380806162135).

223075353105705 is a wasteful number, since it uses less digits than its factorization.

223075353105705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613510.

The product of its (nonzero) digits is 3307500, while the sum is 48.

The spelling of 223075353105705 in words is "two hundred twenty-three trillion, seventy-five billion, three hundred fifty-three million, one hundred five thousand, seven hundred five".

Divisors: 1 3 5 15 19 43 57 95 129 215 285 645 817 2451 4085 12255 31267 93801 156335 469005 582173 594073 1344481 1746519 1782219 2910865 2970365 4033443 6722405 8732595 8911095 11061287 20167215 25033439 25545139 33183861 55306435 75100317 76635417 125167195 127725695 165919305 375501585 383177085 475635341 1426906023 2378176705 7134530115 18202803191 54608409573 91014015955 273042047865 345853260629 782720537213 1037559781887 1729266303145 2348161611639 3913602686065 5187798909435 11740808058195 14871690207047 44615070621141 74358451035235 223075353105705