Search a number
-
+
12223063260 = 22325296734949
BaseRepresentation
bin10110110001000110…
…10010010011011100
31011112211211221121200
423120203102103130
5200013101011020
65340514355500
7611620215642
oct133043222334
934484757550
1012223063260
115202667381
12245158bb90
1311ca435615
1483d4c5192
154b8133590
hex2d88d24dc

12223063260 has 144 divisors (see below), whose sum is σ = 38928708000. Its totient is φ = 3100027392.

The previous prime is 12223063243. The next prime is 12223063301. The reversal of 12223063260 is 6236032221.

12223063260 is a `hidden beast` number, since 1 + 2 + 2 + 23 + 0 + 632 + 6 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 332266 + ... + 367214.

It is an arithmetic number, because the mean of its divisors is an integer number (270338250).

Almost surely, 212223063260 is an apocalyptic number.

12223063260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12223063260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19464354000).

12223063260 is an abundant number, since it is smaller than the sum of its proper divisors (26705644740).

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

12223063260 is a wasteful number, since it uses less digits than its factorization.

12223063260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35060 (or 35055 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 12223063260 its reverse (6236032221), we get a palindrome (18459095481).

The spelling of 12223063260 in words is "twelve billion, two hundred twenty-three million, sixty-three thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 67 87 90 116 134 145 174 180 201 261 268 290 335 348 402 435 522 580 603 670 804 870 1005 1044 1206 1305 1340 1740 1943 2010 2412 2610 3015 3886 4020 5220 5829 6030 7772 9715 11658 12060 17487 19430 23316 29145 34949 34974 38860 58290 69898 69948 87435 104847 116580 139796 174745 174870 209694 314541 349490 349740 419388 524235 629082 698980 1013521 1048470 1258164 1572705 2027042 2096940 2341583 3040563 3145410 4054084 4683166 5067605 6081126 6290820 7024749 9121689 9366332 10135210 11707915 12162252 14049498 15202815 18243378 20270420 21074247 23415830 28098996 30405630 35123745 36486756 42148494 45608445 46831660 60811260 67905907 70247490 84296988 91216890 105371235 135811814 140494980 182433780 203717721 210742470 271623628 339529535 407435442 421484940 611153163 679059070 814870884 1018588605 1222306326 1358118140 2037177210 2444612652 3055765815 4074354420 6111531630 12223063260