Search a number
-
+
4230232314 = 23711191393467
BaseRepresentation
bin1111110000100100…
…0011100011111010
3101220210221001210220
43330021003203322
532130414413224
61535432320510
7206554244550
oct37411034372
911823831726
104230232314
111880946170
129a0843136
13525532659
142c1b65bd0
1519b5a2279
hexfc2438fa

4230232314 has 128 divisors (see below), whose sum is σ = 11186380800. Its totient is φ = 1033145280.

The previous prime is 4230232301. The next prime is 4230232393. The reversal of 4230232314 is 4132320324.

It is a Curzon number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1218409 + ... + 1221875.

It is an arithmetic number, because the mean of its divisors is an integer number (87393600).

Almost surely, 24230232314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4230232314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5593190400).

4230232314 is an abundant number, since it is smaller than the sum of its proper divisors (6956148486).

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

4230232314 is a wasteful number, since it uses less digits than its factorization.

4230232314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3648.

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 4230232314 is about 65040.2361158076. The cubic root of 4230232314 is about 1617.2906389258.

Adding to 4230232314 its reverse (4132320324), we get a palindrome (8362552638).

The spelling of 4230232314 in words is "four billion, two hundred thirty million, two hundred thirty-two thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 11 14 19 21 22 33 38 42 57 66 77 114 133 139 154 209 231 266 278 399 417 418 462 627 798 834 973 1254 1463 1529 1946 2641 2919 2926 3058 3467 4389 4587 5282 5838 6934 7923 8778 9174 10401 10703 15846 18487 20802 21406 24269 29051 32109 36974 38137 48538 55461 58102 64218 65873 72807 76274 87153 110922 114411 131746 145614 174306 197619 203357 228822 266959 395238 406714 461111 481913 533918 610071 724603 800877 922222 963826 1220142 1383333 1445739 1449206 1601754 2173809 2766666 2891478 3373391 4347618 5072221 5301043 6746782 9156347 10120173 10144442 10602086 15216663 15903129 18312694 20240346 27469041 30433326 31806258 37107301 54938082 64094429 74214602 100719817 111321903 128188858 192283287 201439634 222643806 302159451 384566574 604318902 705038719 1410077438 2115116157 4230232314