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22105434025 = 5219728115973
BaseRepresentation
bin10100100101100101…
…100010011110101001
32010001120021101202201
4110211211202132221
5330232442342100
614053300100201
71411536042343
oct244545423651
963046241681
1022105434025
119413a39844
12434b094661
132113948c9c
1410d9b88293
15895a0836a
hex5259627a9

22105434025 has 24 divisors (see below), whose sum is σ = 27649652184. Its totient is φ = 17530867200.

The previous prime is 22105434019. The next prime is 22105434077. The reversal of 22105434025 is 52043450122.

It can be written as a sum of positive squares in 12 ways, for example, as 583696 + 22104850329 = 764^2 + 148677^2 .

It is not a de Polignac number, because 22105434025 - 25 = 22105433993 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22105433984 and 22105434002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1375939 + ... + 1391911.

It is an arithmetic number, because the mean of its divisors is an integer number (1152068841).

Almost surely, 222105434025 is an apocalyptic number.

22105434025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

22105434025 is a deficient number, since it is larger than the sum of its proper divisors (5544218159).

22105434025 is a wasteful number, since it uses less digits than its factorization.

22105434025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16461 (or 16456 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

Adding to 22105434025 its reverse (52043450122), we get a palindrome (74148884147).

The spelling of 22105434025 in words is "twenty-two billion, one hundred five million, four hundred thirty-four thousand, twenty-five".

Divisors: 1 5 25 197 281 985 1405 4925 7025 15973 55357 79865 276785 399325 1383925 3146681 4488413 15733405 22442065 78667025 112210325 884217361 4421086805 22105434025