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4105225368 = 2333413131481
BaseRepresentation
bin1111010010110000…
…1100010010011000
3101121002201001112000
43310230030102120
531401414202433
61515205121000
7203505561036
oct36454142230
911532631460
104105225368
111817324642
129669b9160
1350567474a
142ad305556
1519060d113
hexf4b0c498

4105225368 has 128 divisors (see below), whose sum is σ = 11726769600. Its totient is φ = 1329868800.

The previous prime is 4105225361. The next prime is 4105225379. The reversal of 4105225368 is 8635225014.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4105225361) 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, 2771188 + ... + 2772668.

Almost surely, 24105225368 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 4105225368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5863384800).

4105225368 is an abundant number, since it is smaller than the sum of its proper divisors (7621544232).

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

4105225368 is a wasteful number, since it uses less digits than its factorization.

4105225368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1850 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 4105225368 is about 64072.0326507596. The cubic root of 4105225368 is about 1601.2003190878.

The spelling of 4105225368 in words is "four billion, one hundred five million, two hundred twenty-five thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 82 108 123 164 216 246 313 328 369 492 626 738 939 984 1107 1252 1476 1481 1878 2214 2504 2817 2952 2962 3756 4428 4443 5634 5924 7512 8451 8856 8886 11268 11848 12833 13329 16902 17772 22536 25666 26658 33804 35544 38499 39987 51332 53316 60721 67608 76998 79974 102664 106632 115497 121442 153996 159948 182163 230994 242884 307992 319896 346491 364326 461988 463553 485768 546489 692982 728652 923976 927106 1092978 1385964 1390659 1457304 1639467 1854212 2185956 2771928 2781318 3278934 3708424 4171977 4371912 5562636 6557868 8343954 11125272 12515931 13115736 16687908 19005673 25031862 33375816 38011346 50063724 57017019 76022692 100127448 114034038 152045384 171051057 228068076 342102114 456136152 513153171 684204228 1026306342 1368408456 2052612684 4105225368