Search a number
-
+
235802234668 = 227111370983063
BaseRepresentation
bin1101101110011011101…
…0001000111100101100
3211112122110111122111211
43123212322020330230
512330410333002133
6300154232124204
723015253631630
oct3334672107454
9745573448454
10235802234668
1191004239aa0
1239849836664
131930b7c8c10
14b5acd78dc0
15620166dbcd
hex36e6e88f2c

235802234668 has 96 divisors (see below), whose sum is σ = 554840939520. Its totient is φ = 84683370240.

The previous prime is 235802234639. The next prime is 235802234671. The reversal of 235802234668 is 866432208532.

It is a super-3 number, since 3×2358022346683 (a number of 35 digits) contains 333 as substring.

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, 2797305 + ... + 2880367.

It is an arithmetic number, because the mean of its divisors is an integer number (5779593120).

Almost surely, 2235802234668 is an apocalyptic number.

235802234668 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 235802234668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277420469760).

235802234668 is an abundant number, since it is smaller than the sum of its proper divisors (319038704852).

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

235802234668 is a wasteful number, since it uses less digits than its factorization.

235802234668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83807 (or 83805 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 49.

The spelling of 235802234668 in words is "two hundred thirty-five billion, eight hundred two million, two hundred thirty-four thousand, six hundred sixty-eight".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 709 1001 1418 2002 2836 4004 4963 7799 9217 9926 15598 18434 19852 31196 36868 54593 64519 83063 101387 109186 129038 166126 202774 218372 258076 332252 405548 581441 709709 913693 1079819 1162882 1419418 1827386 2159638 2325764 2838836 3654772 4319276 6395851 7558733 11878009 12791702 15117466 23756018 25583404 30234932 47512036 58891667 83146063 117783334 166292126 235566668 332584252 412241669 647808337 765591671 824483338 1295616674 1531183342 1648966676 2591233348 3062366684 4534658359 5359141697 8421508381 9069316718 10718283394 16843016762 18138633436 21436566788 33686033524 58950558667 117901117334 235802234668