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22424311342422 = 23211672843594569
BaseRepresentation
bin1010001100101000100010…
…00111001010010101010110
32221101202001210221212211100
411012110101013022111112
510414344442200424142
6115405330355450530
74503050224311213
oct506242107122526
987352053855740
1022424311342422
117166108174650
122621b945b6a46
13c687acb22152
145774b19d2b0a
1528d493c4cb4c
hex1465111ca556

22424311342422 has 96 divisors (see below), whose sum is σ = 53813018113920. Its totient is φ = 6691458533760.

The previous prime is 22424311342417. The next prime is 22424311342429.

22424311342422 is a `hidden beast` number, since 2 + 2 + 42 + 43 + 113 + 42 + 422 = 666.

22424311342422 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22424311342429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37417954 + ... + 38012522.

It is an arithmetic number, because the mean of its divisors is an integer number (560552272020).

Almost surely, 222424311342422 is an apocalyptic number.

22424311342422 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22424311342422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26906509056960).

22424311342422 is an abundant number, since it is smaller than the sum of its proper divisors (31388706771498).

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

22424311342422 is a wasteful number, since it uses less digits than its factorization.

22424311342422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597498 (or 597495 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

It can be divided in two parts, 2242431 and 1342422, that added together give a palindrome (3584853).

The spelling of 22424311342422 in words is "twenty-two trillion, four hundred twenty-four billion, three hundred eleven million, three hundred forty-two thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 67 99 134 198 201 402 603 737 1206 1474 2211 2843 4422 5686 6633 8529 13266 17058 25587 31273 51174 62546 93819 187638 190481 281457 380962 562914 571443 594569 1142886 1189138 1714329 1783707 2095291 3428658 3567414 4190582 5351121 6285873 6540259 10702242 12571746 13080518 18857619 19620777 37715238 39241554 39836123 58862331 79672246 117724662 119508369 239016738 358525107 438197353 717050214 876394706 1314592059 1690359667 2629184118 3380719334 3943776177 5071079001 7887552354 10142158002 15213237003 18593956337 30426474006 37187912674 55781869011 111563738022 113254097689 167345607033 226508195378 334691214066 339762293067 679524586134 1019286879201 1245795074579 2038573758402 2491590149158 3737385223737 7474770447474 11212155671211 22424311342422