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243251205225 = 35271741664757
BaseRepresentation
bin1110001010001011100…
…1101101010001101001
3212020212121001120010020
43202202321231101221
512441134302031400
6303425325311053
723400664062150
oct3424271552151
9766777046106
10243251205225
1194186a66906
123b188405489
1319c27b2b0c2
14bab83a6597
1564da5c12a0
hex38a2e6d469

243251205225 has 96 divisors (see below), whose sum is σ = 498536591616. Its totient is φ = 102106521600.

The previous prime is 243251205221. The next prime is 243251205271. The reversal of 243251205225 is 522502152342.

243251205225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 243251205225 - 22 = 243251205221 is a prime.

It is a super-2 number, since 2×2432512052252 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (243251205221) 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 95 ways as a sum of consecutive naturals, for example, 33547 + ... + 698303.

It is an arithmetic number, because the mean of its divisors is an integer number (5193089496).

Almost surely, 2243251205225 is an apocalyptic number.

243251205225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

243251205225 is an abundant number, since it is smaller than the sum of its proper divisors (255285386391).

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

243251205225 is a wasteful number, since it uses less digits than its factorization.

243251205225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664835 (or 664830 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

Adding to 243251205225 its reverse (522502152342), we get a palindrome (765753357567).

The spelling of 243251205225 in words is "two hundred forty-three billion, two hundred fifty-one million, two hundred five thousand, two hundred twenty-five".

Divisors: 1 3 5 7 15 17 21 25 35 41 51 75 85 105 119 123 175 205 255 287 357 425 525 595 615 697 861 1025 1275 1435 1785 2091 2975 3075 3485 4305 4879 7175 8925 10455 14637 17425 21525 24395 52275 73185 121975 365925 664757 1994271 3323785 4653299 9971355 11300869 13959897 16618925 23266495 27255037 33902607 49856775 56504345 69799485 79106083 81765111 116332475 136275185 169513035 190785259 237318249 282521725 348997425 395530415 408825555 463335629 572355777 681375925 847565175 953926295 1186591245 1390006887 1977652075 2044127775 2316678145 2861778885 3243349403 4769631475 5932956225 6950034435 9730048209 11583390725 14308894425 16216747015 34750172175 48650241045 81083735075 243251205225