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2206366536 = 23311371072111
BaseRepresentation
bin1000001110000010…
…0111101101001000
312200202200000220010
42003200213231020
514004312212121
61002534031520
7105450543333
oct20340475510
95622600803
102206366536
11a32488920
12516aa85a0
1329215043a
1416d05761a
15cda78376
hex83827b48

2206366536 has 128 divisors (see below), whose sum is σ = 6240706560. Its totient is φ = 644140800.

The previous prime is 2206366511. The next prime is 2206366541. The reversal of 2206366536 is 6356636022.

It is a junction number, because it is equal to n+sod(n) for n = 2206366494 and 2206366503.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1044121 + ... + 1046231.

It is an arithmetic number, because the mean of its divisors is an integer number (48755520).

Almost surely, 22206366536 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 2206366536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3120353280).

2206366536 is an abundant number, since it is smaller than the sum of its proper divisors (4034340024).

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

2206366536 is a wasteful number, since it uses less digits than its factorization.

2206366536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2275 (or 2271 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 39.

The square root of 2206366536 is about 46971.9760708446. The cubic root of 2206366536 is about 1301.8448237790.

The spelling of 2206366536 in words is "two billion, two hundred six million, three hundred sixty-six thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 107 111 132 148 214 222 264 296 321 407 428 444 642 814 856 888 1177 1221 1284 1628 2111 2354 2442 2568 3256 3531 3959 4222 4708 4884 6333 7062 7918 8444 9416 9768 11877 12666 14124 15836 16888 23221 23754 25332 28248 31672 43549 46442 47508 50664 69663 78107 87098 92884 95016 130647 139326 156214 174196 185768 225877 234321 261294 278652 312428 348392 451754 468642 522588 557304 624856 677631 859177 903508 937284 1045176 1355262 1718354 1807016 1874568 2484647 2577531 2710524 3436708 4969294 5155062 5421048 6873416 7453941 8357449 9938588 10310124 14907882 16714898 19877176 20620248 25072347 29815764 33429796 50144694 59631528 66859592 91931939 100289388 183863878 200578776 275795817 367727756 551591634 735455512 1103183268 2206366536