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5226446225 = 52711134572
BaseRepresentation
bin1001101111000010…
…10011110110010001
3111111020110222101102
410313201103312101
541200432234400
62222340514145
7243342026360
oct46741236621
914436428342
105226446225
112242213450
12101a3ab955
13653a45440
143781a97d7
15208c869d5
hex137853d91

5226446225 has 72 divisors (see below), whose sum is σ = 8720566848. Its totient is φ = 3000844800.

The previous prime is 5226446189. The next prime is 5226446227.

5226446225 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5226446225 - 230 = 4152704401 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (5226446227) 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 71 ways as a sum of consecutive naturals, for example, 11436197 + ... + 11436653.

It is an arithmetic number, because the mean of its divisors is an integer number (121118984).

Almost surely, 25226446225 is an apocalyptic number.

5226446225 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5226446225 is a deficient number, since it is larger than the sum of its proper divisors (3494120623).

5226446225 is a wasteful number, since it uses less digits than its factorization.

5226446225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955 (or 493 counting only the distinct ones).

The product of its digits is 230400, while the sum is 38.

The square root of 5226446225 is about 72294.1645293726. The cubic root of 5226446225 is about 1735.4102654383.

It can be divided in two parts, 52264 and 46225, that added together give a palindrome (98489).

The spelling of 5226446225 in words is "five billion, two hundred twenty-six million, four hundred forty-six thousand, two hundred twenty-five".

Divisors: 1 5 7 11 13 25 35 55 65 77 91 143 175 275 325 385 455 457 715 1001 1925 2275 2285 3199 3575 5005 5027 5941 11425 15995 25025 25135 29705 35189 41587 65351 79975 125675 148525 175945 207935 208849 326755 457457 879725 1039675 1044245 1461943 1633775 2287285 2297339 2715037 5221225 7309715 11436425 11486695 13575185 16081373 19005259 29865407 36548575 57433475 67875925 80406865 95026295 149327035 209057849 402034325 475131475 746635175 1045289245 5226446225