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222434234300344 = 231119593761294799
BaseRepresentation
bin110010100100110110000001…
…100001010111011110111000
31002011120111122020101102122211
4302210312001201113132320
5213123330302440102334
62105024513200424504
764565225453444353
oct6244660141273670
91064514566342584
10222434234300344
1164968913461070
1220b452b3018134
1397165c5b35561
143ccdc3544329a
151aab05902ca64
hexca4d818577b8

222434234300344 has 128 divisors (see below), whose sum is σ = 480365043840000. Its totient is φ = 95497571635200.

The previous prime is 222434234300329. The next prime is 222434234300371. The reversal of 222434234300344 is 443003432434222.

It is a junction number, because it is equal to n+sod(n) for n = 222434234300297 and 222434234300306.

It is a congruent number.

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, 754381057 + ... + 754675855.

It is an arithmetic number, because the mean of its divisors is an integer number (3752851905000).

Almost surely, 2222434234300344 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 222434234300344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240182521920000).

222434234300344 is an abundant number, since it is smaller than the sum of its proper divisors (257930809539656).

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

222434234300344 is a wasteful number, since it uses less digits than its factorization.

222434234300344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296189 (or 296185 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 40.

Adding to 222434234300344 its reverse (443003432434222), we get a palindrome (665437666734566).

The spelling of 222434234300344 in words is "two hundred twenty-two trillion, four hundred thirty-four billion, two hundred thirty-four million, three hundred thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 209 418 593 761 836 1186 1522 1672 2372 3044 4744 6088 6523 8371 11267 13046 14459 16742 22534 26092 28918 33484 45068 52184 57836 66968 90136 115672 123937 159049 247874 294799 318098 451273 495748 589598 636196 902546 991496 1179196 1272392 1805092 2358392 3242789 3610184 4964003 5601181 6485578 8574187 9928006 11202362 12971156 17148374 19856012 22404724 25942312 34296748 39712024 44809448 61612991 68593496 94316057 123225982 174815807 188632114 224342039 246451964 349631614 377264228 448684078 492903928 699263228 754528456 897368156 1398526456 1794736312 1922973877 2467762429 3321500333 3845947754 4262498741 4935524858 6643000666 7691895508 8524997482 9871049716 13286001332 15383791016 17049994964 19742099432 26572002664 34099989928 36536503663 46887486151 73073007326 93774972302 133034829127 146146014652 187549944604 266069658254 292292029304 375099889208 532139316508 1064278633016 1463383120397 2527661753413 2926766240794 5055323506826 5853532481588 10110647013652 11707064963176 20221294027304 27804279287543 55608558575086 111217117150172 222434234300344