Search a number
-
+
2262310644330 = 23251119311840219
BaseRepresentation
bin100000111010111100001…
…110001110101001101010
322000021102022121020100100
4200322330032032221222
5244031203011104310
64451142520250230
7322306111123122
oct40727416165152
98007368536310
102262310644330
117a2493420360
1230654b310976
13135447c41799
147b6d4263c82
153dcab979ec0
hex20ebc38ea6a

2262310644330 has 96 divisors (see below), whose sum is σ = 6449983525440. Its totient is φ = 545597245440.

The previous prime is 2262310644329. The next prime is 2262310644383. The reversal of 2262310644330 is 334460132622.

2262310644330 is a `hidden beast` number, since 2 + 2 + 6 + 2 + 3 + 1 + 0 + 644 + 3 + 3 + 0 = 666.

2262310644330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×22623106443302 (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5729040 + ... + 6111179.

It is an arithmetic number, because the mean of its divisors is an integer number (67187328390).

Almost surely, 22262310644330 is an apocalyptic number.

2262310644330 is an abundant number, since it is smaller than the sum of its proper divisors (4187672881110).

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

2262310644330 is a wasteful number, since it uses less digits than its factorization.

2262310644330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11840436 (or 11840433 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 2262310644330 its reverse (334460132622), we get a palindrome (2596770776952).

The spelling of 2262310644330 in words is "two trillion, two hundred sixty-two billion, three hundred ten million, six hundred forty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 193 198 330 386 495 579 965 990 1158 1737 1930 2123 2895 3474 4246 5790 6369 8685 10615 12738 17370 19107 21230 31845 38214 63690 95535 191070 11840219 23680438 35520657 59201095 71041314 106561971 118402190 130242409 177603285 213123942 260484818 355206570 390727227 532809855 651212045 781454454 1065619710 1172181681 1302424090 1953636135 2285162267 2344363362 3907272270 4570324534 5860908405 6855486801 11425811335 11721816810 13710973602 20566460403 22851622670 25136784937 34277434005 41132920806 50273569874 68554868010 75410354811 102832302015 125683924685 150820709622 205664604030 226231064433 251367849370 377051774055 452462128866 754103548110 1131155322165 2262310644330