Search a number
-
+
291085120228 = 2273131512311
BaseRepresentation
bin1000011110001100000…
…01100111001011100100
31000211100020000012201211
410033012001213023210
514232120242321403
6341420032201204
730013234461250
oct4170601471344
91024306005654
10291085120228
111024a2a64171
12484b7999204
13215abbb2416
1410135167260
157889be806d
hex43c60672e4

291085120228 has 96 divisors (see below), whose sum is σ = 605821239296. Its totient is φ = 119875140000.

The previous prime is 291085120201. The next prime is 291085120229. The reversal of 291085120228 is 822021580192.

It is not an unprimeable number, because it can be changed into a prime (291085120229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125955193 + ... + 125957503.

Almost surely, 2291085120228 is an apocalyptic number.

291085120228 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 291085120228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302910619648).

291085120228 is an abundant number, since it is smaller than the sum of its proper divisors (314736119068).

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

291085120228 is a wasteful number, since it uses less digits than its factorization.

291085120228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2566 (or 2502 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 40.

The spelling of 291085120228 in words is "two hundred ninety-one billion, eighty-five million, one hundred twenty thousand, two hundred twenty-eight".

Divisors: 1 2 4 7 14 28 31 62 124 151 217 302 434 604 868 961 1057 1922 2114 2311 3844 4228 4622 4681 6727 9244 9362 13454 16177 18724 26908 29791 32354 32767 59582 64708 65534 71641 119164 131068 143282 145111 208537 286564 290222 348961 417074 501487 580444 697922 834148 1002974 1015777 1395844 2005948 2031554 2220871 2442727 4063108 4441742 4498441 4885454 8883484 8996882 9770908 10817791 15546097 17993764 21635582 31092194 31489087 43271164 62184388 62978174 68847001 75724537 125956348 137694002 151449074 275388004 302898148 335351521 481929007 670703042 963858014 1341406084 1927716028 2347460647 4694921294 9389842588 10395897151 20791794302 41583588604 72771280057 145542560114 291085120228