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224443242042344 = 231323374507562673
BaseRepresentation
bin110011000010000101000011…
…101101101101001111101000
31002102200120020102212222122222
4303002011003231231033220
5213404234224430323334
62113203445120533212
765163326524500053
oct6302050355551750
91072616212788588
10224443242042344
1165572931a00826
122120a72b781208
139830ba362aa80
143d5d17a361a9a
151ae343cc15d2e
hexcc2143b6d3e8

224443242042344 has 128 divisors (see below), whose sum is σ = 485797066755840. Its totient is φ = 96385767616512.

The previous prime is 224443242042337. The next prime is 224443242042433. The reversal of 224443242042344 is 443240242344422.

It is a junction number, because it is equal to n+sod(n) for n = 224443242042295 and 224443242042304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 398606192 + ... + 399168864.

It is an arithmetic number, because the mean of its divisors is an integer number (3795289584030).

Almost surely, 2224443242042344 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 224443242042344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242898533377920).

224443242042344 is an abundant number, since it is smaller than the sum of its proper divisors (261353824713496).

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

224443242042344 is a wasteful number, since it uses less digits than its factorization.

224443242042344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567259 (or 567255 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 44.

Adding to 224443242042344 its reverse (443240242344422), we get a palindrome (667683484386766).

The spelling of 224443242042344 in words is "two hundred twenty-four trillion, four hundred forty-three billion, two hundred forty-two million, forty-two thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 23 26 37 46 52 74 92 104 148 184 296 299 481 598 851 962 1196 1702 1924 2392 3404 3848 4507 6808 9014 11063 18028 22126 36056 44252 58591 88504 103661 117182 166759 207322 234364 333518 414644 468728 562673 667036 829288 1125346 1334072 1347593 2167867 2250692 2695186 3835457 4335734 4501384 5390372 7314749 7670914 8671468 10780744 12941479 14629498 15341828 17342936 20818901 25882958 29258996 30683656 41637802 49860941 51765916 58517992 83275604 99721882 103531832 166551208 168239227 199443764 270645713 336478454 398887528 478834723 541291426 672956908 957669446 1082582852 1345913816 1915338892 2165165704 2535967211 3830677784 5071934422 6224851399 10143868844 12449702798 20287737688 24899405596 32967573743 49798811192 58327245853 65935147486 93830786807 116654491706 131870294972 187661573614 233308983412 263740589944 375323147228 466617966824 750646294456 758254196089 1219800228491 1516508392178 2158108096561 2439600456982 3033016784356 4316216193122 4879200913964 6066033568712 8632432386244 9758401827928 17264864772488 28055405255293 56110810510586 112221621021172 224443242042344