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224447130434660 = 225721321173374477
BaseRepresentation
bin110011000010001000101011…
…011110101111110001100100
31002102200221021102120210011012
4303002020223132233301210
5213404320210342402120
62113205331022401352
765163525061334600
oct6302105336576144
91072627242523135
10224447130434660
11655745478954a1
122120b435a30258
1398313730a3423
143d5d428942500
151ae35b92921c5
hexcc222b7afc64

224447130434660 has 72 divisors (see below), whose sum is σ = 548707337438904. Its totient is φ = 76895047595520.

The previous prime is 224447130434647. The next prime is 224447130434759. The reversal of 224447130434660 is 66434031744422.

224447130434660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 19037008112164 + 205410122322496 = 4363142^2 + 14332136^2 .

It is a junction number, because it is equal to n+sod(n) for n = 224447130434599 and 224447130434608.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85392659 + ... + 87981818.

It is an arithmetic number, because the mean of its divisors is an integer number (7620935242207).

Almost surely, 2224447130434660 is an apocalyptic number.

224447130434660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224447130434660 is an abundant number, since it is smaller than the sum of its proper divisors (324260207004244).

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

224447130434660 is a wasteful number, since it uses less digits than its factorization.

224447130434660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173375821 (or 173375812 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 50.

The spelling of 224447130434660 in words is "two hundred twenty-four trillion, four hundred forty-seven billion, one hundred thirty million, four hundred thirty-four thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 1321 2642 5284 6605 9247 13210 18494 26420 36988 46235 64729 92470 129458 184940 258916 323645 647290 1294580 173374477 346748954 693497908 866872385 1213621339 1733744770 2427242678 3467489540 4854485356 6068106695 8495349373 12136213390 16990698746 24272426780 33981397492 42476746865 84953493730 169906987460 229027684117 458055368234 916110736468 1145138420585 1603193788819 2290276841170 3206387577638 4580553682340 6412775155276 8015968944095 11222356521733 16031937888190 22444713043466 32063875776380 44889426086932 56111782608665 112223565217330 224447130434660