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52226462225 = 5275971191373
BaseRepresentation
bin110000101000111100…
…001001001000010001
311222210202022011121202
4300220330021020101
51323424433242400
635554214200545
73526135414160
oct605074111021
9158722264552
1052226462225
1120170527083
12a156653155
134c04107cb2
1427562d93d7
15155a08c4d5
hexc28f09211

52226462225 has 96 divisors (see below), whose sum is σ = 76932218880. Its totient is φ = 34435296000.

The previous prime is 52226462221. The next prime is 52226462231.

52226462225 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 52226462225 - 22 = 52226462221 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (52226462221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 140017139 + ... + 140017511.

It is an arithmetic number, because the mean of its divisors is an integer number (801377280).

Almost surely, 252226462225 is an apocalyptic number.

It is an amenable number.

52226462225 is a deficient number, since it is larger than the sum of its proper divisors (24705756655).

52226462225 is a wasteful number, since it uses less digits than its factorization.

52226462225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 706 counting only the distinct ones).

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

The spelling of 52226462225 in words is "fifty-two billion, two hundred twenty-six million, four hundred sixty-two thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 59 71 175 191 295 355 373 413 497 955 1337 1475 1775 1865 2065 2485 2611 4189 4775 6685 9325 10325 11269 12425 13055 13561 20945 22007 26483 29323 33425 56345 65275 67805 71243 78883 94927 104725 110035 132415 146615 154049 185381 281725 339025 356215 394415 474635 498701 550175 662075 733075 770245 800099 926905 1562497 1781075 1972075 2373175 2493505 3851225 4000495 4203337 4634525 5058253 5600693 7812485 10937479 12467525 20002475 21016685 25291265 28003465 29423359 35407771 39062425 54687395 105083425 126456325 140017325 147116795 177038855 273436975 298436927 735583975 885194275 1492184635 2089058489 7460923175 10445292445 52226462225