Search a number
-
+
5221202460 = 22353710921577
BaseRepresentation
bin1001101110011010…
…10011101000011100
3111110212121120021220
410313031103220130
541143111434320
62222032253340
7243246326415
oct46715235034
914425546256
105221202460
11223a261761
1210186a1250
1365292a716
1437760280c
1520859ce40
hex137353a1c

5221202460 has 96 divisors (see below), whose sum is σ = 15152934720. Its totient is φ = 1342199808.

The previous prime is 5221202447. The next prime is 5221202477. The reversal of 5221202460 is 642021225.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 5221202460.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 231192 + ... + 252768.

It is an arithmetic number, because the mean of its divisors is an integer number (157843070).

Almost surely, 25221202460 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 5221202460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7576467360).

5221202460 is an abundant number, since it is smaller than the sum of its proper divisors (9931732260).

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

5221202460 is a wasteful number, since it uses less digits than its factorization.

5221202460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21735 (or 21733 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 5221202460 is about 72257.8885658860. Note that the first 3 decimals coincide. The cubic root of 5221202460 is about 1734.8296842729.

Adding to 5221202460 its reverse (642021225), we get a palindrome (5863223685).

The spelling of 5221202460 in words is "five billion, two hundred twenty-one million, two hundred two thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 109 111 148 185 218 222 327 370 436 444 545 555 654 740 1090 1110 1308 1635 2180 2220 3270 4033 6540 8066 12099 16132 20165 21577 24198 40330 43154 48396 60495 64731 80660 86308 107885 120990 129462 215770 241980 258924 323655 431540 647310 798349 1294620 1596698 2351893 2395047 3193396 3991745 4703786 4790094 7055679 7983490 9407572 9580188 11759465 11975235 14111358 15966980 23518930 23950470 28222716 35278395 47037860 47900940 70556790 87020041 141113580 174040082 261060123 348080164 435100205 522120246 870200410 1044240492 1305300615 1740400820 2610601230 5221202460