Search a number
-
+
222224401410312 = 233731189112256349
BaseRepresentation
bin110010100001110010100110…
…100000011010100100001000
31002010211110000121210011211010
4302201302212200122210020
5213111411033230112222
62104344251453403520
764544116554346440
oct6241624640324410
91063743017704733
10222224401410312
1164897926244074
1220b106b24995a0
1396cc895638972
143cc3a0b49d120
151aa587770980c
hexca1ca681a908

222224401410312 has 128 divisors (see below), whose sum is σ = 655443320832000. Its totient is φ = 61441258579200.

The previous prime is 222224401410299. The next prime is 222224401410379. The reversal of 222224401410312 is 213014104422222.

It is a self number, because there is not a number n which added to its sum of digits gives 222224401410312.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97360314 + ... + 99616662.

It is an arithmetic number, because the mean of its divisors is an integer number (5120650944000).

Almost surely, 2222224401410312 is an apocalyptic number.

It is an amenable number.

222224401410312 is an abundant number, since it is smaller than the sum of its proper divisors (433218919421688).

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

222224401410312 is a wasteful number, since it uses less digits than its factorization.

222224401410312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2275307 (or 2275303 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 222224401410312 its reverse (213014104422222), we get a palindrome (435238505832534).

The spelling of 222224401410312 in words is "two hundred twenty-two trillion, two hundred twenty-four billion, four hundred one million, four hundred ten thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 434 651 744 868 1302 1736 2604 5208 18911 37822 56733 75644 113466 132377 151288 226932 264754 397131 453864 529508 586241 794262 1059016 1172482 1588524 1758723 2256349 2344964 3177048 3517446 4103687 4512698 4689928 6769047 7034892 8207374 9025396 12311061 13538094 14069784 15794443 16414748 18050792 24622122 27076188 31588886 32829496 47383329 49244244 54152376 63177772 69946819 94766658 98488488 126355544 139893638 189533316 209840457 279787276 379066632 419680914 489627733 559574552 839361828 979255466 1468883199 1678723656 1958510932 2937766398 3917021864 5875532796 11751065592 42669815939 85339631878 128009447817 170679263756 256018895634 298688711573 341358527512 512037791268 597377423146 896066134719 1024075582536 1194754846292 1322764294109 1792132269438 2389509692584 2645528588218 3584264538876 3968292882327 5291057176436 7168529077752 7936585764654 9259350058763 10582114352872 15873171529308 18518700117526 27778050176289 31746343058616 37037400235052 55556100352578 74074800470104 111112200705156 222224401410312