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5136302224 = 24192232412
BaseRepresentation
bin1001100100010010…
…11100000010010000
3111020221212012001201
410302021130002100
541004343132344
62205400440544
7241165564024
oct46211340220
914227765051
105136302224
1121a6343979
12bb4179154
1363b172ab1
1436a222384
15200dcc4d4
hex13225c090

5136302224 has 135 divisors (see below), whose sum is σ = 11253745209. Its totient is φ = 2270442240.

The previous prime is 5136302207. The next prime is 5136302231. The reversal of 5136302224 is 4222036315.

The square root of 5136302224 is 71668.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 247495824 + 4888806400 = 15732^2 + 69920^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 5136302192 and 5136302201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 125275644 + ... + 125275684.

Almost surely, 25136302224 is an apocalyptic number.

5136302224 is the 71668-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5136302224

5136302224 is an abundant number, since it is smaller than the sum of its proper divisors (6117442985).

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

5136302224 is a wasteful number, since it uses less digits than its factorization.

5136302224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The cubic root of 5136302224 is about 1725.3750888041.

Adding to 5136302224 its reverse (4222036315), we get a palindrome (9358338539).

The spelling of 5136302224 in words is "five billion, one hundred thirty-six million, three hundred two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 19 23 38 41 46 76 82 92 152 164 184 304 328 361 368 437 529 656 722 779 874 943 1058 1444 1558 1681 1748 1886 2116 2888 3116 3362 3496 3772 4232 5776 6232 6724 6992 7544 8303 8464 10051 12464 13448 14801 15088 16606 17917 20102 21689 26896 29602 31939 33212 35834 38663 40204 43378 59204 63878 66424 71668 77326 80408 86756 118408 127756 132848 143336 154652 160816 173512 190969 236816 255512 286672 309304 340423 347024 381938 412091 511024 606841 618608 680846 734597 763876 824182 889249 1213682 1361692 1469194 1527752 1648364 1778498 2427364 2723384 2938388 3055504 3296728 3556996 4854728 5446768 5876776 6593456 7113992 7829729 9709456 11753552 13957343 14227984 15659458 16895731 27914686 31318916 33791462 55829372 62637832 67582924 111658744 125275664 135165848 223317488 270331696 321018889 642037778 1284075556 2568151112 5136302224