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2205015516 = 2232117383919
BaseRepresentation
bin1000001101101101…
…1101110111011100
312200200010101122100
42003123131313130
514003440444031
61002445045100
7105433215444
oct20333356734
95620111570
102205015516
11a31745880
12516556790
13291a99512
1416cbc5124
15cd8acde6
hex836ddddc

2205015516 has 144 divisors (see below), whose sum is σ = 6244842240. Its totient is φ = 650384640.

The previous prime is 2205015503. The next prime is 2205015517. The reversal of 2205015516 is 6155105022.

It is a self number, because there is not a number n which added to its sum of digits gives 2205015516.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2205015517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2398905 + ... + 2399823.

It is an arithmetic number, because the mean of its divisors is an integer number (43366960).

Almost surely, 22205015516 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 2205015516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3122421120).

2205015516 is an abundant number, since it is smaller than the sum of its proper divisors (4039826724).

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

2205015516 is a wasteful number, since it uses less digits than its factorization.

2205015516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 2205015516 is about 46957.5927406847. The cubic root of 2205015516 is about 1301.5790508475.

The spelling of 2205015516 in words is "two billion, two hundred five million, fifteen thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 73 83 99 132 146 166 198 219 249 292 332 396 438 498 657 747 803 876 913 919 996 1314 1494 1606 1826 1838 2409 2628 2739 2757 2988 3212 3652 3676 4818 5478 5514 6059 7227 8217 8271 9636 10109 10956 11028 12118 14454 16434 16542 18177 20218 24236 28908 30327 32868 33084 36354 40436 54531 60654 66649 67087 72708 76277 90981 109062 121308 133298 134174 152554 181962 199947 201261 218124 228831 266596 268348 305108 363924 399894 402522 457662 599841 603783 686493 737957 799788 805044 839047 915324 1199682 1207566 1372986 1475914 1678094 2213871 2399364 2415132 2517141 2745972 2951828 3356188 4427742 5034282 5568221 6641613 7551423 8855484 10068564 11136442 13283226 15102846 16704663 22272884 26566452 30205692 33409326 50113989 61250431 66818652 100227978 122500862 183751293 200455956 245001724 367502586 551253879 735005172 1102507758 2205015516