Search a number
-
+
226351350506325 = 352111274003753959
BaseRepresentation
bin110011011101110110000111…
…110101110110001101010101
31002200102222101210121010220010
4303131312013311312031111
5214132020031212200300
62121224212551230433
765451226322023242
oct6335660765661525
91080388353533803
10226351350506325
1166139083436510
12214784a9378419
13993bac1210995
143dc766ca105c9
151b27db877ba50
hexcddd87d76355

226351350506325 has 96 divisors (see below), whose sum is σ = 411488040222720. Its totient is φ = 108877229395200.

The previous prime is 226351350506311. The next prime is 226351350506329. The reversal of 226351350506325 is 523605053153622.

It is not a de Polignac number, because 226351350506325 - 215 = 226351350473557 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226351350506329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4194849696 + ... + 4194903654.

It is an arithmetic number, because the mean of its divisors is an integer number (4286333752320).

Almost surely, 2226351350506325 is an apocalyptic number.

226351350506325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

226351350506325 is a deficient number, since it is larger than the sum of its proper divisors (185136689716395).

226351350506325 is a wasteful number, since it uses less digits than its factorization.

226351350506325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94147 (or 94142 counting only the distinct ones).

The product of its (nonzero) digits is 4860000, while the sum is 48.

The spelling of 226351350506325 in words is "two hundred twenty-six trillion, three hundred fifty-one billion, three hundred fifty million, five hundred six thousand, three hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 55 75 127 165 275 381 635 825 1397 1905 3175 4191 6985 9525 20955 34925 40037 53959 104775 120111 161877 200185 269795 440407 593549 600555 809385 1000925 1321221 1348975 1780647 2202035 2967745 3002775 4046925 5084699 6606105 6852793 8903235 11010175 14838725 15254097 20558379 25423495 33030525 34263965 44516175 55931689 75380723 76270485 102791895 127117475 167795067 171319825 226142169 279658445 376903615 381352425 513959475 838975335 1130710845 1398292225 1884518075 2160356483 4194876675 5653554225 6481069449 10801782415 23763921313 32405347245 54008912075 71291763939 118819606565 162026736225 274365273341 356458819695 594098032825 823095820023 1371826366705 1782294098475 3018018006751 4115479100115 6859131833525 9054054020253 15090090033755 20577395500575 45270270101265 75450450168775 226351350506325