Search a number
-
+
2212213060536 = 23319291571065527
BaseRepresentation
bin100000001100010010001…
…011000111001110111000
321211111002221011021220220
4200030102023013032320
5242221103020414121
64412135431220040
7315553462520403
oct40142213071670
97744087137826
102212213060536
11783215667146
122b88a9817620
131307c2bc5c8b
14791009b0d3a
153c82875b6c6
hex203122c73b8

2212213060536 has 128 divisors (see below), whose sum is σ = 6060723264000. Its totient is φ = 670207329792.

The previous prime is 2212213060529. The next prime is 2212213060537. The reversal of 2212213060536 is 6350603122122.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2212213060497 and 2212213060506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212213060537) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1543405 + ... + 2608931.

It is an arithmetic number, because the mean of its divisors is an integer number (47349400500).

Almost surely, 22212213060536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2212213060536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3030361632000).

2212213060536 is an abundant number, since it is smaller than the sum of its proper divisors (3848510203464).

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

2212213060536 is a wasteful number, since it uses less digits than its factorization.

2212213060536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065741 (or 1065737 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

Adding to 2212213060536 its reverse (6350603122122), we get a palindrome (8562816182658).

The spelling of 2212213060536 in words is "two trillion, two hundred twelve billion, two hundred thirteen million, sixty thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 19 24 29 38 57 58 76 87 114 116 152 157 174 228 232 314 348 456 471 551 628 696 942 1102 1256 1653 1884 2204 2983 3306 3768 4408 4553 5966 6612 8949 9106 11932 13224 13659 17898 18212 23864 27318 35796 36424 54636 71592 86507 109272 173014 259521 346028 519042 692056 1038084 1065527 2076168 2131054 3196581 4262108 6393162 8524216 12786324 20245013 25572648 30900283 40490026 60735039 61800566 80980052 92700849 121470078 123601132 161960104 167287739 185401698 242940156 247202264 334575478 370803396 485880312 501863217 587105377 669150956 741606792 1003726434 1174210754 1338301912 1761316131 2007452868 2348421508 3178467041 3522632262 4014905736 4696843016 4851344431 6356934082 7045264524 9535401123 9702688862 12713868164 14090529048 14554033293 19070802246 19405377724 25427736328 29108066586 38141604492 38810755448 58216133172 76283208984 92175544189 116432266344 184351088378 276526632567 368702176756 553053265134 737404353512 1106106530268 2212213060536