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2224114114222 = 2711213791278419
BaseRepresentation
bin100000010111010111100…
…010000001111010101110
321212121211100002110110001
4200113113202001322232
5242414441203123342
64421424404134514
7316454423021050
oct40272742017256
97777740073401
102224114114222
11788272486a00
122bb06b39743a
1313196b6c5790
147990d3d38d0
153ccc34848b7
hex205d7881eae

2224114114222 has 96 divisors (see below), whose sum is σ = 4570402636800. Its totient is φ = 789755503680.

The previous prime is 2224114114217. The next prime is 2224114114231.

2224114114222 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1100529 + ... + 2378947.

It is an arithmetic number, because the mean of its divisors is an integer number (47608360800).

Almost surely, 22224114114222 is an apocalyptic number.

2224114114222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2224114114222 is an abundant number, since it is smaller than the sum of its proper divisors (2346288522578).

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

2224114114222 is a wasteful number, since it uses less digits than its factorization.

2224114114222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278542 (or 1278531 counting only the distinct ones).

The product of its digits is 4096, while the sum is 28.

The spelling of 2224114114222 in words is "two trillion, two hundred twenty-four billion, one hundred fourteen million, one hundred fourteen thousand, two hundred twenty-two".

Divisors: 1 2 7 11 13 14 22 26 77 79 91 121 143 154 158 182 242 286 553 847 869 1001 1027 1106 1573 1694 1738 2002 2054 3146 6083 7189 9559 11011 11297 12166 14378 19118 22022 22594 66913 79079 124267 133826 158158 248534 869869 1278419 1739738 2556838 8948933 14062609 16619447 17897866 28125218 33238894 98438263 100995101 116336129 154688699 182813917 196876526 201990202 232672258 309377398 365627834 706965707 1082820893 1110946111 1279697419 1312936313 1413931414 2010953087 2165641786 2221892222 2559394838 2625872626 4021906174 7776622777 9190554191 12220407221 14076671609 14442299443 15553245554 18381108382 24440814442 28153343218 28884598886 85542850547 101096096101 158865293873 171085701094 202192192202 317730587746 1112057057111 2224114114222