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5200212220 = 2257219214699
BaseRepresentation
bin1001101011111010…
…01111000011111100
3111102102010011002121
410311331033003330
541122223242340
62220002332324
7242603034400
oct46575170374
914372104077
105200212220
112229425455
12101165a0a4
1364b48b668
143748db100
1520680394a
hex135f4f0fc

5200212220 has 108 divisors (see below), whose sum is σ = 13408075800. Its totient is φ = 1688976576.

The previous prime is 5200212203. The next prime is 5200212223. The reversal of 5200212220 is 222120025.

It is a junction number, because it is equal to n+sod(n) for n = 5200212194 and 5200212203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5200212223) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 346431 + ... + 361129.

It is an arithmetic number, because the mean of its divisors is an integer number (124148850).

Almost surely, 25200212220 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 5200212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6704037900).

5200212220 is an abundant number, since it is smaller than the sum of its proper divisors (8207863580).

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

5200212220 is a wasteful number, since it uses less digits than its factorization.

5200212220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14760 (or 14732 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 5200212220 is about 72112.4969752123. The cubic root of 5200212220 is about 1732.5017787282.

Adding to 5200212220 its reverse (222120025), we get a palindrome (5422332245).

The spelling of 5200212220 in words is "five billion, two hundred million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 49 70 76 95 98 133 140 190 196 245 266 361 380 490 532 665 722 931 980 1330 1444 1805 1862 2527 2660 3610 3724 4655 5054 7220 9310 10108 12635 14699 17689 18620 25270 29398 35378 50540 58796 70756 73495 88445 102893 146990 176890 205786 279281 293980 353780 411572 514465 558562 720251 1028930 1117124 1396405 1440502 1954967 2057860 2792810 2881004 3601255 3909934 5306339 5585620 7202510 7819868 9774835 10612678 13684769 14405020 19549670 21225356 26531695 27369538 37144373 39099340 53063390 54739076 68423845 74288746 106126780 136847690 148577492 185721865 260010611 273695380 371443730 520021222 742887460 1040042444 1300053055 2600106110 5200212220