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225120566233561 = 172311321124147797
BaseRepresentation
bin110011001011111011110111…
…011000011100100111011001
31002112002022112022211221120011
4303023323313120130213121
5214001333404423433221
62114442543241001521
765263265331226645
oct6313736730344731
91075068468757504
10225120566233561
1165804106837689
12212b9a5a1832a1
13987ca16c2667b
143d83c71c47c25
151b05d8119a1e1
hexccbef761c9d9

225120566233561 has 32 divisors (see below), whose sum is σ = 252116920251648. Its totient is φ = 199920568995840.

The previous prime is 225120566233553. The next prime is 225120566233597. The reversal of 225120566233561 is 165332665021522.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 225120566233561 - 23 = 225120566233553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (225120566239561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2751286 + ... + 21396511.

It is an arithmetic number, because the mean of its divisors is an integer number (7878653757864).

Almost surely, 2225120566233561 is an apocalyptic number.

It is an amenable number.

225120566233561 is a deficient number, since it is larger than the sum of its proper divisors (26996354018087).

225120566233561 is a wasteful number, since it uses less digits than its factorization.

225120566233561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24148161.

The product of its (nonzero) digits is 3888000, while the sum is 49.

The spelling of 225120566233561 in words is "two hundred twenty-five trillion, one hundred twenty billion, five hundred sixty-six million, two hundred thirty-three thousand, five hundred sixty-one".

Divisors: 1 17 23 113 211 391 1921 2599 3587 4853 23843 44183 82501 405331 548389 9322613 24147797 410512549 555399331 2728701061 5095185167 9441788627 46387918037 62760124403 86618147839 117189258841 575755923871 1066922114851 1992217400297 9787850705807 13242386249033 225120566233561