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224114403324 = 22374381176507
BaseRepresentation
bin1101000010111001000…
…0100110011111111100
3210102110220210022001110
43100232100212133330
512132441241401244
6250542353242020
722122522665610
oct3205620463774
9712426708043
10224114403324
1187056813349
1237527563310
1318198232b96
14abc09bb340
155c6a5129b9
hex342e4267fc

224114403324 has 96 divisors (see below), whose sum is σ = 612299032576. Its totient is φ = 62465618880.

The previous prime is 224114403323. The next prime is 224114403341. The reversal of 224114403324 is 423304411422.

It is a junction number, because it is equal to n+sod(n) for n = 224114403291 and 224114403300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224114403323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2891079 + ... + 2967585.

Almost surely, 2224114403324 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 224114403324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306149516288).

224114403324 is an abundant number, since it is smaller than the sum of its proper divisors (388184629252).

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

224114403324 is a wasteful number, since it uses less digits than its factorization.

224114403324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77375 (or 77373 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 224114403324 its reverse (423304411422), we get a palindrome (647418814746).

The spelling of 224114403324 in words is "two hundred twenty-four billion, one hundred fourteen million, four hundred three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 84 86 129 172 258 301 516 602 811 903 1204 1622 1806 2433 3244 3612 4866 5677 9732 11354 17031 22708 34062 34873 68124 69746 76507 104619 139492 153014 209238 229521 244111 306028 418476 459042 488222 535549 732333 918084 976444 1071098 1464666 1606647 2142196 2929332 3213294 3289801 6426588 6579602 9869403 13159204 19738806 23028607 39477612 46057214 62047177 69085821 92114428 124094354 138171642 186141531 248188708 276343284 372283062 434330239 744566124 868660478 1302990717 1737320956 2605981434 2668028611 5211962868 5336057222 8004085833 10672114444 16008171666 18676200277 32016343332 37352400554 56028600831 74704801108 112057201662 224114403324