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22345103430 = 23251322218599
BaseRepresentation
bin10100110011110111…
…110011100001000110
32010200021020212101100
4110303313303201012
5331230321302210
614133141040530
71420506150066
oct246367634106
963607225340
1022345103430
119527256a31
1243b73b6146
1321514b24c0
14111d9353a6
158aba9b5c0
hex533df3846

22345103430 has 96 divisors (see below), whose sum is σ = 62601739200. Its totient is φ = 5497217280.

The previous prime is 22345103419. The next prime is 22345103471. The reversal of 22345103430 is 3430154322.

22345103430 is a `hidden beast` number, since 223 + 4 + 5 + 1 + 0 + 3 + 430 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 22345103394 and 22345103403.

It is a congruent number.

It is an unprimeable number.

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, 2594271 + ... + 2602869.

It is an arithmetic number, because the mean of its divisors is an integer number (652101450).

Almost surely, 222345103430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22345103430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31300869600).

22345103430 is an abundant number, since it is smaller than the sum of its proper divisors (40256635770).

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

22345103430 is a wasteful number, since it uses less digits than its factorization.

22345103430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10846 (or 10843 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 22345103430 its reverse (3430154322), we get a palindrome (25775257752).

The spelling of 22345103430 in words is "twenty-two billion, three hundred forty-five million, one hundred three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 2221 4442 6663 8599 11105 13326 17198 19989 22210 25797 28873 33315 39978 42995 51594 57746 66630 77391 85990 86619 99945 111787 128985 144365 154782 173238 199890 223574 257970 259857 288730 335361 386955 433095 519714 558935 670722 773910 866190 1006083 1117870 1299285 1676805 2012166 2598570 3353610 5030415 10060830 19098379 38196758 57295137 95491895 114590274 171885411 190983790 248278927 286475685 343770822 496557854 572951370 744836781 859427055 1241394635 1489673562 1718854110 2234510343 2482789270 3724183905 4469020686 7448367810 11172551715 22345103430