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10226211633260 = 2257172614143421
BaseRepresentation
bin1001010011001111100110…
…1101100011100001101100
31100012121122021022212111122
42110303321231203201230
52320021240134231020
633425505021240112
72103551025452210
oct224637155434154
940177567285448
1010226211633260
113292a03963247
121191aa9703038
13592434a1945c
14274d46474940
1512b019622125
hex94cf9b6386c

10226211633260 has 144 divisors (see below), whose sum is σ = 26498940500928. Its totient is φ = 3245789491200.

The previous prime is 10226211633247. The next prime is 10226211633263. The reversal of 10226211633260 is 6233611262201.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 10226211633260.

It is not an unprimeable number, because it can be changed into a prime (10226211633263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 396350 + ... + 4539770.

Almost surely, 210226211633260 is an apocalyptic number.

10226211633260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10226211633260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13249470250464).

10226211633260 is an abundant number, since it is smaller than the sum of its proper divisors (16272728867668).

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

10226211633260 is a wasteful number, since it uses less digits than its factorization.

10226211633260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4143532 (or 4143513 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

Adding to 10226211633260 its reverse (6233611262201), we get a palindrome (16459822895461).

The spelling of 10226211633260 in words is "ten trillion, two hundred twenty-six billion, two hundred eleven million, six hundred thirty-three thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 61 68 70 85 119 122 140 170 238 244 289 305 340 427 476 578 595 610 854 1037 1156 1190 1220 1445 1708 2023 2074 2135 2380 2890 4046 4148 4270 5185 5780 7259 8092 8540 10115 10370 14518 17629 20230 20740 29036 35258 36295 40460 70516 72590 88145 123403 145180 176290 246806 352580 493612 617015 1234030 2468060 4143421 8286842 16573684 20717105 29003947 41434210 58007894 70438157 82868420 116015788 140876314 145019735 252748681 281752628 290039470 352190785 493067099 505497362 580078940 704381570 986134198 1010994724 1197448669 1263743405 1408763140 1769240767 1972268396 2394897338 2465335495 2527486810 3538481534 4296727577 4789794676 4930670990 5054973620 5987243345 7076963068 8382140683 8593455154 8846203835 9861341980 11974486690 16764281366 17186910308 17692407670 21483637885 23948973380 30077093039 33528562732 35384815340 41910703415 42967275770 60154186078 73044368809 83821406830 85934551540 120308372156 146088737618 150385465195 167642813660 292177475236 300770930390 365221844045 511310581663 601541860780 730443688090 1022621163326 1460887376180 2045242326652 2556552908315 5113105816630 10226211633260