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225522520047 = 3211171399191049
BaseRepresentation
bin1101001000001000110…
…0001000111111101111
3210120010001102001001200
43102002030020333233
512143332231120142
6251334214140543
722202441535306
oct3220214107757
9716101361050
10225522520047
1187709646280
123785b051753
1318360b93c46
14acb5a0343d
155cede5c64c
hex3482308fef

225522520047 has 96 divisors (see below), whose sum is σ = 379753920000. Its totient is φ = 127454238720.

The previous prime is 225522519967. The next prime is 225522520051. The reversal of 225522520047 is 740025225522.

225522520047 is a `hidden beast` number, since 22 + 55 + 22 + 520 + 0 + 47 = 666.

225522520047 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 225522520047 - 223 = 225514131439 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 225522519993 and 225522520020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225522520147) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 214987579 + ... + 214988627.

It is an arithmetic number, because the mean of its divisors is an integer number (3955770000).

Almost surely, 2225522520047 is an apocalyptic number.

225522520047 is a deficient number, since it is larger than the sum of its proper divisors (154231399953).

225522520047 is a wasteful number, since it uses less digits than its factorization.

225522520047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2141 (or 2138 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 36.

Adding to 225522520047 its reverse (740025225522), we get a palindrome (965547745569).

The spelling of 225522520047 in words is "two hundred twenty-five billion, five hundred twenty-two million, five hundred twenty thousand, forty-seven".

Divisors: 1 3 9 11 17 33 51 99 139 153 187 417 561 919 1049 1251 1529 1683 2363 2757 3147 4587 7089 8271 9441 10109 11539 13761 15623 17833 21267 25993 30327 34617 46869 53499 77979 90981 103851 127741 140607 145811 160497 171853 196163 233937 383223 437433 515559 588489 964031 1149669 1312299 1405151 1546677 1603921 1765467 2171597 2478787 2892093 4215453 4811763 6514791 7436361 8676279 10604341 12646359 14435289 16388527 19544373 22309083 23887567 27266657 31813023 49165581 71662701 81799971 95439069 134000309 147496743 180273797 214988103 245399913 402000927 540821391 1206002781 1474003399 1622464173 2278005253 4422010197 6834015759 13266030591 20502047277 25058057783 75174173349 225522520047