Search a number
-
+
232120210014 = 232711173968063
BaseRepresentation
bin1101100000101101110…
…0010101001001011110
3211012010212010102020100
43120023130111021132
512300340233210024
6254345021401530
722525104142110
oct3301334251136
9735125112210
10232120210014
118a494897410
1238ba07092a6
1318b72a29cc4
14b33dd573b0
1560882a87c9
hex360b71525e

232120210014 has 96 divisors (see below), whose sum is σ = 630651101184. Its totient is φ = 59942399040.

The previous prime is 232120210013. The next prime is 232120210033. The reversal of 232120210014 is 410012021232.

It is a happy number.

232120210014 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232120210013) 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 47 ways as a sum of consecutive naturals, for example, 244254 + ... + 723809.

It is an arithmetic number, because the mean of its divisors is an integer number (6569282304).

Almost surely, 2232120210014 is an apocalyptic number.

232120210014 is an abundant number, since it is smaller than the sum of its proper divisors (398530891170).

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

232120210014 is a wasteful number, since it uses less digits than its factorization.

232120210014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968262 (or 968259 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 232120210014 its reverse (410012021232), we get a palindrome (642132231246).

The spelling of 232120210014 in words is "two hundred thirty-two billion, one hundred twenty million, two hundred ten thousand, fourteen".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 173 198 231 346 462 519 693 1038 1211 1386 1557 1903 2422 3114 3633 3806 5709 7266 10899 11418 13321 17127 21798 26642 34254 39963 79926 119889 239778 968063 1936126 2904189 5808378 6776441 8712567 10648693 13552882 17425134 20329323 21297386 31946079 40658646 60987969 63892158 74540851 95838237 121975938 149081702 167474899 191676474 223622553 334949798 447245106 502424697 670867659 1004849394 1172324293 1341735318 1507274091 1842223889 2344648586 3014548182 3516972879 3684447778 5526671667 7033945758 10550918637 11053343334 12895567223 16580015001 21101837274 25791134446 33160030002 38686701669 77373403338 116060105007 232120210014