Search a number
-
+
3563364220 = 22513172471009
BaseRepresentation
bin1101010001100100…
…1001111101111100
3100012100002122202121
43110121021331330
524244210123340
61345331132324
7154206044653
oct32431117574
910170078677
103563364220
111569476309
128354440a4
1344a323950
1425b37419a
1515cc7694a
hexd4649f7c

3563364220 has 144 divisors (see below), whose sum is σ = 8751415680. Its totient is φ = 1210761216.

The previous prime is 3563364179. The next prime is 3563364221. The reversal of 3563364220 is 224633653.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3563364221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3531076 + ... + 3532084.

It is an arithmetic number, because the mean of its divisors is an integer number (60773720).

Almost surely, 23563364220 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 3563364220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4375707840).

3563364220 is an abundant number, since it is smaller than the sum of its proper divisors (5188051460).

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

3563364220 is a wasteful number, since it uses less digits than its factorization.

3563364220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 34.

The square root of 3563364220 is about 59693.9211310499. The cubic root of 3563364220 is about 1527.4021759502.

Adding to 3563364220 its reverse (224633653), we get a palindrome (3787997873).

The spelling of 3563364220 in words is "three billion, five hundred sixty-three million, three hundred sixty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 17 20 26 34 47 52 65 68 85 94 130 170 188 221 235 260 289 340 442 470 578 611 799 884 940 1009 1105 1156 1222 1445 1598 2018 2210 2444 2890 3055 3196 3757 3995 4036 4420 5045 5780 6110 7514 7990 10090 10387 12220 13117 13583 15028 15980 17153 18785 20180 20774 26234 27166 34306 37570 41548 47423 51935 52468 54332 65585 67915 68612 75140 85765 94846 103870 131170 135830 171530 176579 189692 207740 222989 237115 262340 271660 291601 343060 353158 445978 474230 583202 616499 706316 806191 882895 891956 948460 1114945 1166404 1232998 1458005 1612382 1765790 2229890 2465996 2916010 3082495 3224764 3531580 3790813 4030955 4459780 5832020 6164990 7581626 8061910 10480483 12329980 13705247 15163252 16123820 18954065 20960966 27410494 37908130 41921932 52402415 54820988 68526235 75816260 104804830 137052470 178168211 209609660 274104940 356336422 712672844 890841055 1781682110 3563364220