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22430982105 = 345726471747
BaseRepresentation
bin10100111000111111…
…011001111111011001
32010220020211221210000
4110320333121333121
5331414312411410
614145445443213
71422601126200
oct247077317731
963806757700
1022430982105
119570782944
124420110509
13216622059c
14112b0cc237
158b43b1dc0
hex538fd9fd9

22430982105 has 120 divisors (see below), whose sum is σ = 46873556928. Its totient is φ = 10232453952.

The previous prime is 22430982103. The next prime is 22430982109. The reversal of 22430982105 is 50128903422.

It is a happy number.

22430982105 is a `hidden beast` number, since 2 + 2 + 430 + 9 + 8 + 210 + 5 = 666.

It is not a de Polignac number, because 22430982105 - 21 = 22430982103 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 22430982105.

It is not an unprimeable number, because it can be changed into a prime (22430982103) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 12838842 + ... + 12840588.

Almost surely, 222430982105 is an apocalyptic number.

It is an amenable number.

22430982105 is an abundant number, since it is smaller than the sum of its proper divisors (24442574823).

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

22430982105 is a wasteful number, since it uses less digits than its factorization.

22430982105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2425 (or 2409 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 22430982105 in words is "twenty-two billion, four hundred thirty million, nine hundred eighty-two thousand, one hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 49 63 81 105 135 147 189 245 315 405 441 567 647 735 945 1323 1747 1941 2205 2835 3235 3969 4529 5241 5823 6615 8735 9705 12229 13587 15723 17469 19845 22645 26205 29115 31703 36687 40761 47169 52407 61145 67935 78615 85603 87345 95109 110061 122283 141507 158515 183435 203805 235845 256809 262035 285327 330183 366849 428015 475545 550305 611415 707535 770427 855981 990549 1130309 1284045 1426635 1650915 1834245 2311281 2567943 3390927 3852135 4279905 4952745 5651545 6933843 7912163 10172781 11556405 12839715 16954635 23736489 30518343 34669215 39560815 50863905 55385141 71209467 91555029 118682445 152591715 166155423 213628401 276925705 356047335 457775145 498466269 640885203 830777115 1068142005 1495398807 2492331345 3204426015 4486196421 7476994035 22430982105