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23225441005 = 5132436311013
BaseRepresentation
bin10101101000010110…
…000001101011101101
32012221121202122111201
4111220112001223231
5340031203103010
614400345445501
71451355663664
oct255026015355
965847678451
1023225441005
119939179648
1246021a0891
1322619b3300
1411a4813ddb
1590dee223a
hex568581aed

23225441005 has 48 divisors (see below), whose sum is σ = 30960648576. Its totient is φ = 16709172480.

The previous prime is 23225441003. The next prime is 23225441047. The reversal of 23225441005 is 50014452232.

It is not a de Polignac number, because 23225441005 - 21 = 23225441003 is a prime.

It is a super-2 number, since 2×232254410052 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23225441003) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 22926879 + ... + 22927891.

It is an arithmetic number, because the mean of its divisors is an integer number (645013512).

Almost surely, 223225441005 is an apocalyptic number.

It is an amenable number.

23225441005 is a deficient number, since it is larger than the sum of its proper divisors (7735207571).

23225441005 is a wasteful number, since it uses less digits than its factorization.

23225441005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1718 (or 1705 counting only the distinct ones).

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

Adding to 23225441005 its reverse (50014452232), we get a palindrome (73239893237).

The spelling of 23225441005 in words is "twenty-three billion, two hundred twenty-five million, four hundred forty-one thousand, five".

Divisors: 1 5 13 43 65 169 215 559 631 845 1013 2795 3155 5065 7267 8203 13169 27133 36335 41015 43559 65845 106639 135665 171197 217795 352729 533195 566267 639203 855985 1763645 2831335 3196015 4585477 7361471 8309639 22927385 27485729 36807355 41548195 108025307 137428645 357314477 540126535 1786572385 4645088201 23225441005