Search a number
-
+
12305550222 = 23272192925321
BaseRepresentation
bin10110111010111011…
…11100101110001110
31011202121001201110100
423131131330232032
5200200210101342
65353022351530
7613641310500
oct133535745616
934677051410
1012305550222
115245187019
12247512b5a6
131211556984
1484a437d70
154c04c8e4c
hex2dd77cb8e

12305550222 has 144 divisors (see below), whose sum is σ = 33774483600. Its totient is φ = 3215842560.

The previous prime is 12305550221. The next prime is 12305550253. The reversal of 12305550222 is 22205550321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12305550221) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 473322 + ... + 498642.

It is an arithmetic number, because the mean of its divisors is an integer number (234545025).

Almost surely, 212305550222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12305550222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16887241800).

12305550222 is an abundant number, since it is smaller than the sum of its proper divisors (21468933378).

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

12305550222 is a wasteful number, since it uses less digits than its factorization.

12305550222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25391 (or 25381 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

Subtracting 12305550222 from its reverse (22205550321), we obtain a palindrome (9900000099).

The spelling of 12305550222 in words is "twelve billion, three hundred five million, five hundred fifty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 29 38 42 49 57 58 63 87 98 114 126 133 147 171 174 203 261 266 294 342 399 406 441 522 551 609 798 882 931 1102 1197 1218 1421 1653 1827 1862 2394 2793 2842 3306 3654 3857 4263 4959 5586 7714 8379 8526 9918 11571 12789 16758 23142 25321 25578 26999 34713 50642 53998 69426 75963 80997 151926 161994 177247 227889 242991 354494 455778 481099 485982 531741 734309 962198 1063482 1240729 1443297 1468618 1595223 2202927 2481458 2886594 3190446 3367693 3722187 4329891 4405854 5140163 6608781 6735386 7444374 8659782 10103079 10280326 11166561 13217562 13951871 15420489 20206158 22333122 23573851 27903742 30309237 30840978 35981141 41855613 46261467 47147702 60618474 70721553 71962282 83711226 92522934 97663097 107943423 125566839 141443106 195326194 212164659 215886846 251133678 292989291 323830269 424329318 585978582 647660538 683641679 878967873 1367283358 1757935746 2050925037 4101850074 6152775111 12305550222