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225623385 = 325131953383
BaseRepresentation
bin11010111001010…
…11110101011001
3120201112212002200
431130223311121
5430224422020
634215520413
75406524061
oct1534536531
9521485080
10225623385
111063a4209
1263689109
1337989180
1421d723a1
1514c1b590
hexd72bd59

225623385 has 96 divisors (see below), whose sum is σ = 452874240. Its totient is φ = 102974976.

The previous prime is 225623383. The next prime is 225623389. The reversal of 225623385 is 583326522.

225623385 is a `hidden beast` number, since 2 + 25 + 623 + 3 + 8 + 5 = 666.

It is not a de Polignac number, because 225623385 - 21 = 225623383 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (225623383) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 588904 + ... + 589286.

It is an arithmetic number, because the mean of its divisors is an integer number (4717440).

Almost surely, 2225623385 is an apocalyptic number.

It is an amenable number.

225623385 is an abundant number, since it is smaller than the sum of its proper divisors (227250855).

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

225623385 is a wasteful number, since it uses less digits than its factorization.

225623385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 476 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 225623385 is about 15020.7651269834. The cubic root of 225623385 is about 608.7813932232.

The spelling of 225623385 in words is "two hundred twenty-five million, six hundred twenty-three thousand, three hundred eighty-five".

Divisors: 1 3 5 9 13 15 19 39 45 53 57 65 95 117 159 171 195 247 265 285 383 477 585 689 741 795 855 1007 1149 1235 1915 2067 2223 2385 3021 3445 3447 3705 4979 5035 5745 6201 7277 9063 10335 11115 13091 14937 15105 17235 20299 21831 24895 31005 36385 39273 44811 45315 60897 65455 65493 74685 94601 101495 109155 117819 182691 196365 224055 263887 283803 304485 327465 385681 473005 589095 791661 851409 913455 1157043 1319435 1419015 1928405 2374983 3471129 3958305 4257045 5013853 5785215 11874915 15041559 17355645 25069265 45124677 75207795 225623385