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663135220 = 2251147591087
BaseRepresentation
bin100111100001101…
…010001111110100
31201012210202111201
4213201222033310
52324230311340
6145445142244
722301361556
oct4741521764
91635722451
10663135220
11310360340
121660ba984
13a7502907
14640dd4d6
153d33e79a
hex2786a3f4

663135220 has 96 divisors (see below), whose sum is σ = 1579253760. Its totient is φ = 231795840.

The previous prime is 663135197. The next prime is 663135227. The reversal of 663135220 is 22531366.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (663135227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 609517 + ... + 610603.

It is an arithmetic number, because the mean of its divisors is an integer number (16450560).

Almost surely, 2663135220 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 663135220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789626880).

663135220 is an abundant number, since it is smaller than the sum of its proper divisors (916118540).

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

663135220 is a wasteful number, since it uses less digits than its factorization.

663135220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 663135220 is about 25751.4120001215. The cubic root of 663135220 is about 872.0352316517.

Adding to 663135220 its reverse (22531366), we get a palindrome (685666586).

The spelling of 663135220 in words is "six hundred sixty-three million, one hundred thirty-five thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 59 94 110 118 188 220 235 236 295 470 517 590 649 940 1034 1087 1180 1298 2068 2174 2585 2596 2773 3245 4348 5170 5435 5546 6490 10340 10870 11092 11957 12980 13865 21740 23914 27730 30503 47828 51089 55460 59785 61006 64133 102178 119570 122012 128266 152515 204356 239140 255445 256532 305030 320665 510890 561979 610060 641330 705463 1021780 1123958 1282660 1410926 2247916 2809895 2821852 3014251 3527315 5619790 6028502 7054630 11239580 12057004 14109260 15071255 30142510 33156761 60285020 66313522 132627044 165783805 331567610 663135220