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223403221004334 = 23719313941950501
BaseRepresentation
bin110010110010111100011101…
…101000010011000000101110
31002022000010202120211011221220
4302302330131220103000232
5213240214244034114314
62111050004540404210
765025231035515650
oct6262743550230056
91068003676734856
10223403221004334
1165201857168708
122108105a846666
139786aaab24c67
143d24ab8a326d0
151ac636cc0e3a9
hexcb2f1da1302e

223403221004334 has 128 divisors (see below), whose sum is σ = 539802404305920. Its totient is φ = 60212730240000.

The previous prime is 223403221004291. The next prime is 223403221004387. The reversal of 223403221004334 is 433400122304322.

It is a super-2 number, since 2×2234032210043342 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223403221004295 and 223403221004304.

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 63 ways as a sum of consecutive naturals, for example, 234562084 + ... + 235512584.

It is an arithmetic number, because the mean of its divisors is an integer number (4217206283640).

Almost surely, 2223403221004334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223403221004334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269901202152960).

223403221004334 is an abundant number, since it is smaller than the sum of its proper divisors (316399183301586).

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

223403221004334 is a wasteful number, since it uses less digits than its factorization.

223403221004334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951786.

The product of its (nonzero) digits is 82944, while the sum is 33.

Adding to 223403221004334 its reverse (433400122304322), we get a palindrome (656803343308656).

The spelling of 223403221004334 in words is "two hundred twenty-three trillion, four hundred three billion, two hundred twenty-one million, four thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 266 313 399 626 798 939 941 1878 1882 2191 2823 4382 5646 5947 6573 6587 11894 13146 13174 17841 17879 19761 35682 35758 39522 41629 53637 83258 107274 124887 125153 249774 250306 294533 375459 589066 750918 883599 950501 1767198 1901002 2061731 2851503 4123462 5596127 5703006 6185193 6653507 11192254 12370386 13307014 16788381 18059519 19960521 33576762 36119038 39172889 39921042 54178557 78345778 108357114 117518667 126416633 235037334 252833266 297506813 379249899 595013626 758499798 892520439 894421441 1785040878 1788842882 2082547691 2683264323 4165095382 5366528646 5652629447 6247643073 6260950087 11305258894 12495286146 12521900174 16957888341 16994007379 18782850261 33915776682 33988014758 37565700522 39568406129 50982022137 79136812258 101964044274 118705218387 118958051653 237410436774 237916103306 279953911033 356874154959 559907822066 713748309918 839861733099 1679723466198 1959677377231 3919354754462 5319124309627 5879032131693 10638248619254 11758064263386 15957372928881 31914745857762 37233870167389 74467740334778 111701610502167 223403221004334