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225522519993 = 32118549211373
BaseRepresentation
bin1101001000001000110…
…0001000111110111001
3210120010001102000222200
43102002030020332321
512143332231114433
6251334214140413
722202441535201
oct3220214107671
9716101360880
10225522519993
1187709646231
123785b051709
1318360b93c04
14acb5a03401
155cede5c613
hex3482308fb9

225522519993 has 12 divisors (see below), whose sum is σ = 325759040100. Its totient is φ = 150346367136.

The previous prime is 225522519967. The next prime is 225522520051. The reversal of 225522519993 is 399915225522.

225522519993 is a `hidden beast` number, since 2 + 25 + 522 + 5 + 1 + 9 + 9 + 93 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 165483799209 + 60038720784 = 406797^2 + 245028^2 .

It is not a de Polignac number, because 225522519993 - 213 = 225522511801 is a prime.

It is not an unprimeable number, because it can be changed into a prime (225522519953) 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 11 ways as a sum of consecutive naturals, for example, 961255 + ... + 1172627.

It is an arithmetic number, because the mean of its divisors is an integer number (27146586675).

Almost surely, 2225522519993 is an apocalyptic number.

It is an amenable number.

225522519993 is a deficient number, since it is larger than the sum of its proper divisors (100236520107).

225522519993 is a wasteful number, since it uses less digits than its factorization.

225522519993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329928 (or 329925 counting only the distinct ones).

The product of its digits is 4374000, while the sum is 54.

The spelling of 225522519993 in words is "two hundred twenty-five billion, five hundred twenty-two million, five hundred nineteen thousand, nine hundred ninety-three".

Divisors: 1 3 9 118549 211373 355647 634119 1066941 1902357 25058057777 75174173331 225522519993