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224224014324 = 223233535933881
BaseRepresentation
bin1101000011010011001…
…0101110111111110100
3210102202120001010002010
43100310302232333310
512133202321424244
6251001310444220
722125323450322
oct3206462567764
9712676033063
10224224014324
1187102679752
1237558203670
13181b4b6016b
14abd1390d12
155c74e64eb9
hex3434caeff4

224224014324 has 96 divisors (see below), whose sum is σ = 548547842304. Its totient is φ = 71150632960.

The previous prime is 224224014299. The next prime is 224224014337. The reversal of 224224014324 is 423410422422.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 224224014291 and 224224014300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57772864 + ... + 57776744.

It is an arithmetic number, because the mean of its divisors is an integer number (5714040024).

Almost surely, 2224224014324 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 224224014324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274273921152).

224224014324 is an abundant number, since it is smaller than the sum of its proper divisors (324323827980).

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

224224014324 is a wasteful number, since it uses less digits than its factorization.

224224014324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4857 (or 4855 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 224224014324 its reverse (423410422422), we get a palindrome (647634436746).

The spelling of 224224014324 in words is "two hundred twenty-four billion, two hundred twenty-four million, fourteen thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 353 593 706 1059 1186 1412 1779 2118 2372 3558 3881 4236 7116 7762 8119 11643 13639 15524 16238 23286 24357 27278 32476 40917 46572 48714 54556 81834 89263 97428 163668 178526 209329 267789 357052 418658 535578 627987 837316 1071156 1255974 1369993 2301433 2511948 2739986 4109979 4602866 4814567 5479972 6904299 8219958 9205732 9629134 13808598 14443701 16439916 19258268 27617196 28887402 31509839 52932959 57774804 63019678 94529517 105865918 126039356 158798877 189059034 211731836 317597754 378118068 635195508 812405849 1624811698 2437217547 3249623396 4874435094 9748870188 18685334527 37370669054 56056003581 74741338108 112112007162 224224014324