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232317154640 = 24528110334393
BaseRepresentation
bin1101100001011100101…
…1100111010101010000
3211012122120201020110202
43120113023213111100
512301241142422030
6254420334514332
722533015142514
oct3302713472520
9735576636422
10232317154640
118a585a8286a
12390366659a8
1318ba478469c
14b35c182144
15609a70c745
hex36172e7550

232317154640 has 40 divisors (see below), whose sum is σ = 542059634088. Its totient is φ = 92596152320.

The previous prime is 232317154639. The next prime is 232317154649. The reversal of 232317154640 is 46451713232.

232317154640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6589542976 + 225727611664 = 81176^2 + 475108^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 232317154594 and 232317154603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232317154649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5144717 + ... + 5189676.

Almost surely, 2232317154640 is an apocalyptic number.

232317154640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232317154640 is an abundant number, since it is smaller than the sum of its proper divisors (309742479448).

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

232317154640 is a wasteful number, since it uses less digits than its factorization.

232317154640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10334687 (or 10334681 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 38.

Adding to 232317154640 its reverse (46451713232), we get a palindrome (278768867872).

The spelling of 232317154640 in words is "two hundred thirty-two billion, three hundred seventeen million, one hundred fifty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 281 562 1124 1405 2248 2810 4496 5620 11240 22480 10334393 20668786 41337572 51671965 82675144 103343930 165350288 206687860 413375720 826751440 2903964433 5807928866 11615857732 14519822165 23231715464 29039644330 46463430928 58079288660 116158577320 232317154640