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224260068848 = 242317319717881
BaseRepresentation
bin1101000011011011110…
…0010001010111110000
3210102212001212212120212
43100312330101113300
512133241034200343
6251005035323252
722126242063464
oct3206674212760
9712761785525
10224260068848
1187120a64a82
12375682b0528
13181bc474bba
14abd60984a4
155c781d7c18
hex3436f115f0

224260068848 has 80 divisors (see below), whose sum is σ = 458356574016. Its totient is φ = 106087618560.

The previous prime is 224260068797. The next prime is 224260068863. The reversal of 224260068848 is 848860062422.

224260068848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 224260068796 and 224260068805.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12532868 + ... + 12550748.

Almost surely, 2224260068848 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 224260068848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229178287008).

224260068848 is an abundant number, since it is smaller than the sum of its proper divisors (234096505168).

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

224260068848 is a wasteful number, since it uses less digits than its factorization.

224260068848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18282 (or 18276 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 50.

The spelling of 224260068848 in words is "two hundred twenty-four billion, two hundred sixty million, sixty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 23 46 92 173 184 197 346 368 394 692 788 1384 1576 2768 3152 3979 4531 7958 9062 15916 17881 18124 31832 34081 35762 36248 63664 68162 71524 72496 136324 143048 272648 286096 411263 545296 783863 822526 1567726 1645052 3093413 3135452 3290104 3522557 6186826 6270904 6580208 7045114 12373652 12541808 14090228 24747304 28180456 49494608 56360912 71148499 81018811 142296998 162037622 284593996 324075244 569187992 609402361 648150488 1138375984 1218804722 1296300976 2437609444 4875218888 9750437776 14016254303 28032508606 56065017212 112130034424 224260068848