Search a number
-
+
9228668229 = 33111741109409
BaseRepresentation
bin10001001100001001…
…00100110101000101
3212211011100220212000
420212010210311011
5122400014340404
64123430215513
7444460246164
oct104604446505
925734326760
109228668229
113a06385040
1219567b4599
13b40c64341
1463793b3db
153902ea339
hex226124d45

9228668229 has 128 divisors (see below), whose sum is σ = 16365888000. Its totient is φ = 5076172800.

The previous prime is 9228668179. The next prime is 9228668237.

9228668229 is nontrivially palindromic in base 10.

9228668229 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9228668229 - 221 = 9226571077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9228668929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22563777 + ... + 22564185.

It is an arithmetic number, because the mean of its divisors is an integer number (127858500).

Almost surely, 29228668229 is an apocalyptic number.

9228668229 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

It is an amenable number.

9228668229 is a deficient number, since it is larger than the sum of its proper divisors (7137219771).

9228668229 is a wasteful number, since it uses less digits than its factorization.

9228668229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 590 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 9228668229 is about 96065.9577009463. The cubic root of 9228668229 is about 2097.5533280850.

The spelling of 9228668229 in words is "nine billion, two hundred twenty-eight million, six hundred sixty-eight thousand, two hundred twenty-nine".

Divisors: 1 3 9 11 17 27 33 41 51 99 109 123 153 187 297 327 369 409 451 459 561 697 981 1107 1199 1227 1353 1683 1853 2091 2943 3597 3681 4059 4469 4499 5049 5559 6273 6953 7667 10791 11043 12177 13407 13497 16677 16769 18819 20383 20859 23001 32373 40221 40491 44581 49159 50031 50307 61149 62577 69003 75973 76483 120663 121473 133743 147477 150921 183447 184459 187731 207009 227919 229449 285073 401229 442431 452763 490391 550341 553377 683757 688347 757877 835703 855219 1203687 1327293 1471173 1660131 1827821 2051271 2065041 2273631 2507109 2565657 3135803 4413519 4980393 5483463 6820893 7521327 7696971 8336647 9407409 13240557 16450389 20106031 20462679 22563981 25009941 28222227 31072957 49351167 60318093 75029823 84666681 93218871 180954279 225089469 279656613 341802527 542862837 838969839 1025407581 3076222743 9228668229