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241254223222220 = 225132234616731773
BaseRepresentation
bin110110110110101101100000…
…010001101001010111001100
31011122012200022121211021020222
4312312231200101221113030
5223110202122121102340
62213034354330130512
7101550020361020345
oct6666554021512714
91148180277737228
10241254223222220
116a96438358495a
1223084827280a38
13a480238b2aa00
144380aa3bb70cc
151cd5898ea68b5
hexdb6b604695cc

241254223222220 has 144 divisors (see below), whose sum is σ = 573697721120832. Its totient is φ = 85020664734720.

The previous prime is 241254223222091. The next prime is 241254223222249. The reversal of 241254223222220 is 22222322452142.

It is a happy number.

241254223222220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32472254 + ... + 39204026.

It is an arithmetic number, because the mean of its divisors is an integer number (3984011952228).

Almost surely, 2241254223222220 is an apocalyptic number.

241254223222220 is a gapful number since it is divisible by the number (20) 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 241254223222220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286848860560416).

241254223222220 is an abundant number, since it is smaller than the sum of its proper divisors (332443497898612).

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

241254223222220 is a wasteful number, since it uses less digits than its factorization.

241254223222220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6732292 (or 6732277 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 35.

Adding to 241254223222220 its reverse (22222322452142), we get a palindrome (263476545674362).

The spelling of 241254223222220 in words is "two hundred forty-one trillion, two hundred fifty-four billion, two hundred twenty-three million, two hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 92 115 130 169 230 260 299 338 460 461 598 676 845 922 1196 1495 1690 1844 2305 2990 3380 3887 4610 5980 5993 7774 9220 10603 11986 15548 19435 21206 23972 29965 38870 42412 53015 59930 77740 77909 106030 119860 137839 155818 212060 275678 311636 389545 551356 689195 779090 1378390 1558180 1791907 2756780 3583814 6731773 7167628 8959535 13463546 17919070 26927092 33658865 35838140 67317730 87513049 134635460 154830779 175026098 309661558 350052196 437565245 619323116 774153895 875130490 1137669637 1548307790 1750260980 2012800127 2275339274 3096615580 3103347353 4025600254 4550678548 5688348185 6206694706 8051200508 10064000635 11376696370 12413389412 15516736765 20128001270 22753392740 26166401651 31033473530 40256002540 40343515589 52332803302 62066947060 71376989119 80687031178 104665606604 130832008255 142753978238 161374062356 201717577945 261664016510 285507956476 356884945595 403435155890 523328033020 524465702657 713769891190 806870311780 927900858547 1048931405314 1427539782380 1855801717094 2097862810628 2622328513285 3711603434188 4639504292735 5244657026570 9279008585470 10489314053140 12062711161111 18558017170940 24125422322222 48250844644444 60313555805555 120627111611110 241254223222220