Search a number
-
+
288832974228 = 223429149920507
BaseRepresentation
bin1000011001111111100…
…10010110110110010100
31000121112021012100020000
410030333302112312110
514213012220133403
6340404341011300
726603356526031
oct4147762266624
91017467170200
10288832974228
11101547758587
1247b896b3b30
1321310423956
14dd9ddd4388
1577a712a7a3
hex433fc96d94

288832974228 has 120 divisors (see below), whose sum is σ = 781662420000. Its totient is φ = 92891195712.

The previous prime is 288832974211. The next prime is 288832974229. The reversal of 288832974228 is 822479238882.

288832974228 is a `hidden beast` number, since 2 + 8 + 88 + 329 + 7 + 4 + 228 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288832974229) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14074351 + ... + 14094857.

It is an arithmetic number, because the mean of its divisors is an integer number (6513853500).

Almost surely, 2288832974228 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 288832974228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390831210000).

288832974228 is an abundant number, since it is smaller than the sum of its proper divisors (492829445772).

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

288832974228 is a wasteful number, since it uses less digits than its factorization.

288832974228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22051 (or 22040 counting only the distinct ones).

The product of its digits is 49545216, while the sum is 63.

The spelling of 288832974228 in words is "two hundred eighty-eight billion, eight hundred thirty-two million, nine hundred seventy-four thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 261 324 348 522 783 1044 1499 1566 2349 2998 3132 4497 4698 5996 8994 9396 13491 17988 20507 26982 40473 41014 43471 53964 61521 80946 82028 86942 121419 123042 130413 161892 173884 184563 242838 246084 260826 369126 391239 485676 521652 553689 594703 738252 782478 1107378 1173717 1189406 1564956 1661067 1784109 2214756 2347434 2378812 3322134 3521151 3568218 4694868 5352327 6644268 7042302 7136436 10704654 14084604 16056981 21409308 30739993 32113962 48170943 61479986 64227924 92219979 96341886 122959972 184439958 192683772 276659937 368879916 553319874 829979811 891459797 1106639748 1659959622 1782919594 2489939433 2674379391 3319919244 3565839188 4979878866 5348758782 8023138173 9959757732 10697517564 16046276346 24069414519 32092552692 48138829038 72208243557 96277658076 144416487114 288832974228