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22241314350016 = 2623611009924527
BaseRepresentation
bin1010000111010011101011…
…01001000010001111000000
32220202020201102211110212221
411003221311221002033000
510403400202433200031
6115145304015100424
74453611334453006
oct503516551021700
986666642743787
1022241314350016
1170a5541136743
1225b2623211714
13c5446830a318
1456c6b1b74a76
15288833396a11
hex143a75a423c0

22241314350016 has 112 divisors (see below), whose sum is σ = 46815553612800. Its totient is φ = 10461308267520.

The previous prime is 22241314350011. The next prime is 22241314350041. The reversal of 22241314350016 is 61005341314222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22241314350011) 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 15 ways as a sum of consecutive naturals, for example, 906797145 + ... + 906821671.

It is an arithmetic number, because the mean of its divisors is an integer number (417996014400).

Almost surely, 222241314350016 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 22241314350016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23407776806400).

22241314350016 is an abundant number, since it is smaller than the sum of its proper divisors (24574239262784).

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

22241314350016 is a wasteful number, since it uses less digits than its factorization.

22241314350016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34722 (or 34712 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

Adding to 22241314350016 its reverse (61005341314222), we get a palindrome (83246655664238).

The spelling of 22241314350016 in words is "twenty-two trillion, two hundred forty-one billion, three hundred fourteen million, three hundred fifty thousand, sixteen".

Divisors: 1 2 4 8 16 23 32 46 61 64 92 122 184 244 368 488 736 976 1403 1472 1952 2806 3904 5612 10099 11224 20198 22448 24527 40396 44896 49054 80792 89792 98108 161584 196216 232277 323168 392432 464554 564121 616039 646336 784864 929108 1128242 1232078 1496147 1569728 1858216 2256484 2464156 2992294 3716432 4512968 4928312 5984588 7432864 9025936 9856624 11969176 14168897 14865728 18051872 19713248 23938352 28337794 34411381 36103744 39426496 47876704 56675588 68822762 95753408 113351176 137645524 226702352 247698173 275291048 453404704 495396346 550582096 906809408 990792692 1101164192 1981585384 2202328384 3963170768 5697057979 7926341536 11394115958 15109588553 15852683072 22788231916 30219177106 45576463832 60438354212 91152927664 120876708424 182305855328 241753416848 347520536719 364611710656 483506833696 695041073438 967013667392 1390082146876 2780164293752 5560328587504 11120657175008 22241314350016