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2231061612 = 2231324789263
BaseRepresentation
bin1000010011111011…
…0100110001101100
312202111010200011120
42010332310301230
514032122432422
61005215220540
7106200465543
oct20476646154
95674120146
102231061612
11a4541567a
12523217750
132972b8900
1417244515a
15d0d0545c
hex84fb4c6c

2231061612 has 144 divisors (see below), whose sum is σ = 5843819520. Its totient is φ = 661799424.

The previous prime is 2231061607. The next prime is 2231061683. The reversal of 2231061612 is 2161601322.

2231061612 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×22310616123 (a number of 29 digits) contains 333 as substring.

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, 8482993 + ... + 8483255.

It is an arithmetic number, because the mean of its divisors is an integer number (40582080).

Almost surely, 22231061612 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 2231061612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2921909760).

2231061612 is an abundant number, since it is smaller than the sum of its proper divisors (3612757908).

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

2231061612 is a wasteful number, since it uses less digits than its factorization.

2231061612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 2231061612 is about 47234.1149170809. The cubic root of 2231061612 is about 1306.6838433405.

Adding to 2231061612 its reverse (2161601322), we get a palindrome (4392662934).

The spelling of 2231061612 in words is "two billion, two hundred thirty-one million, sixty-one thousand, six hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 47 52 78 89 94 141 156 169 178 188 263 267 282 338 356 507 526 534 564 611 676 789 1014 1052 1068 1157 1222 1578 1833 2028 2314 2444 3156 3419 3471 3666 4183 4628 6838 6942 7332 7943 8366 10257 12361 12549 13676 13884 15041 15886 16732 20514 23407 23829 24722 25098 30082 31772 37083 41028 44447 45123 46814 47658 49444 50196 54379 60164 70221 74166 88894 90246 93628 95316 108758 133341 140442 148332 160693 163137 177788 180492 217516 266682 280884 304291 321386 326274 482079 533364 608582 642772 652548 706927 912873 964158 1100129 1217164 1413854 1825746 1928316 2089009 2120781 2200258 2827708 3300387 3651492 3955783 4178018 4241562 4400516 6267027 6600774 7911566 8356036 8483124 11867349 12534054 13201548 14301677 15823132 23734698 25068108 28603354 42905031 47469396 57206708 85810062 171620124 185921801 371843602 557765403 743687204 1115530806 2231061612