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317242233 = 32711597759
BaseRepresentation
bin10010111010001…
…011101101111001
3211002221120112100
4102322023231321
51122203222413
651251334013
710601341320
oct2272135571
9732846470
10317242233
11153090870
128a2b1309
1350956bc9
14301c10b7
151ccb7a73
hex12e8bb79

317242233 has 48 divisors (see below), whose sum is σ = 581068800. Its totient is φ = 161987040.

The previous prime is 317242231. The next prime is 317242249. The reversal of 317242233 is 332242713.

It is not a de Polignac number, because 317242233 - 21 = 317242231 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 317242197 and 317242206.

It is not an unprimeable number, because it can be changed into a prime (317242231) 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 47 ways as a sum of consecutive naturals, for example, 37008 + ... + 44766.

It is an arithmetic number, because the mean of its divisors is an integer number (12105600).

Almost surely, 2317242233 is an apocalyptic number.

317242233 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

317242233 is a deficient number, since it is larger than the sum of its proper divisors (263826567).

317242233 is a wasteful number, since it uses less digits than its factorization.

317242233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7842 (or 7839 counting only the distinct ones).

The product of its digits is 6048, while the sum is 27.

The square root of 317242233 is about 17811.2950960900. The cubic root of 317242233 is about 682.0198256779.

Adding to 317242233 its reverse (332242713), we get a palindrome (649484946).

The spelling of 317242233 in words is "three hundred seventeen million, two hundred forty-two thousand, two hundred thirty-three".

Divisors: 1 3 7 9 11 21 33 59 63 77 99 177 231 413 531 649 693 1239 1947 3717 4543 5841 7759 13629 23277 40887 54313 69831 85349 162939 256047 457781 488817 597443 768141 1373343 1792329 3204467 4120029 5035591 5376987 9613401 15106773 28840203 35249137 45320319 105747411 317242233