Search a number
-
+
4225022340 = 2235711283137
BaseRepresentation
bin1111101111010100…
…1011100110000100
3101220110010101001220
43323311023212010
532123101203330
61535124520340
7206462045250
oct37365134604
911813111056
104225022340
111878a07900
1299ab500b0
1352442a126
142c11ab260
1519adc3710
hexfbd4b984

4225022340 has 144 divisors (see below), whose sum is σ = 14861083776. Its totient is φ = 877916160.

The previous prime is 4225022339. The next prime is 4225022363. The reversal of 4225022340 is 432205224.

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 4225022340.

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, 9252 + ... + 92388.

Almost surely, 24225022340 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 4225022340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7430541888).

4225022340 is an abundant number, since it is smaller than the sum of its proper divisors (10636061436).

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

4225022340 is a wasteful number, since it uses less digits than its factorization.

4225022340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83178 (or 83165 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 4225022340 is about 65000.1718459267. The cubic root of 4225022340 is about 1616.6264119120.

Adding to 4225022340 its reverse (432205224), we get a palindrome (4657227564).

The spelling of 4225022340 in words is "four billion, two hundred twenty-five million, twenty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 121 132 140 154 165 210 220 231 242 308 330 363 385 420 462 484 605 660 726 770 847 924 1155 1210 1452 1540 1694 1815 2310 2420 2541 3388 3630 4235 4620 5082 7260 8470 10164 12705 16940 25410 50820 83137 166274 249411 332548 415685 498822 581959 831370 914507 997644 1163918 1247055 1662740 1745877 1829014 2327836 2494110 2743521 2909795 3491754 3658028 4572535 4988220 5487042 5819590 6401549 6983508 8729385 9145070 10059577 10974084 11639180 12803098 13717605 17458770 18290140 19204647 20119154 25606196 27435210 30178731 32007745 34917540 38409294 40238308 50297885 54870420 60357462 64015490 70417039 76818588 96023235 100595770 120714924 128030980 140834078 150893655 192046470 201191540 211251117 281668156 301787310 352085195 384092940 422502234 603574620 704170390 845004468 1056255585 1408340780 2112511170 4225022340