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224050225662444 = 223532832139158193
BaseRepresentation
bin110010111100010111000010…
…000111001100100111101100
31002101021222210110020021110110
4302330113002013030213230
5213331314330232144234
62112303130331540020
765123044312414356
oct6274270207144754
91071258713207413
10224050225662444
1165431192455595
12211665272ba610
139802acbaabc1c
143d481358940d6
151ad80d949d1e9
hexcbc5c21cc9ec

224050225662444 has 96 divisors (see below), whose sum is σ = 534564028099584. Its totient is φ = 73010699873280.

The previous prime is 224050225662437. The next prime is 224050225662457. The reversal of 224050225662444 is 444266522050422.

224050225662444 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 = 224050225662393 and 224050225662402.

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, 3850094212 + ... + 3850152404.

It is an arithmetic number, because the mean of its divisors is an integer number (5568375292704).

Almost surely, 2224050225662444 is an apocalyptic number.

It is an amenable number.

224050225662444 is an abundant number, since it is smaller than the sum of its proper divisors (310513802437140).

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

224050225662444 is a wasteful number, since it uses less digits than its factorization.

224050225662444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79927 (or 79925 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 48.

The spelling of 224050225662444 in words is "two hundred twenty-four trillion, fifty billion, two hundred twenty-five million, six hundred sixty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 53 106 159 212 283 318 566 636 849 1132 1698 3396 14999 21391 29998 42782 44997 58193 59996 64173 85564 89994 116386 128346 174579 179988 232772 256692 349158 698316 1133723 2267446 3084229 3401169 4534892 6053653 6168458 6802338 9252687 12107306 12336916 13604676 16468619 18160959 18505374 24214612 32937238 36321918 37010748 49405857 65874476 72643836 98811714 197623428 320843609 641687218 872836807 962530827 1244806463 1283374436 1745673614 1925061654 2489612926 2618510421 3491347228 3734419389 3850123308 4979225852 5237020842 7468838778 10474041684 14937677556 65974742539 131949485078 197924227617 263898970156 352280229029 395848455234 704560458058 791696910468 1056840687087 1409120916116 2113681374174 4227362748348 18670852138537 37341704277074 56012556415611 74683408554148 112025112831222 224050225662444