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225766223305 = 5727922935087
BaseRepresentation
bin1101001001000010110…
…1110010110111001001
3210120202000222110002021
43102100231302313021
512144332123121210
6251414321404441
722211461143400
oct3222055626711
9716660873067
10225766223305
1187824169127
1237908799721
131839c51055c
14acda120637
155d1554abda
hex3490b72dc9

225766223305 has 48 divisors (see below), whose sum is σ = 319342417920. Its totient is φ = 152754795648.

The previous prime is 225766223281. The next prime is 225766223321. The reversal of 225766223305 is 503322667522.

225766223305 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 225766223305 - 221 = 225764126153 is a prime.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 44378472 + ... + 44383558.

It is an arithmetic number, because the mean of its divisors is an integer number (6652967040).

Almost surely, 2225766223305 is an apocalyptic number.

It is an amenable number.

225766223305 is a deficient number, since it is larger than the sum of its proper divisors (93576194615).

225766223305 is a wasteful number, since it uses less digits than its factorization.

225766223305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7478 (or 7471 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 43.

The spelling of 225766223305 in words is "two hundred twenty-five billion, seven hundred sixty-six million, two hundred twenty-three thousand, three hundred five".

Divisors: 1 5 7 35 49 79 245 395 553 2293 2765 3871 5087 11465 16051 19355 25435 35609 80255 112357 178045 181147 249263 401873 561785 905735 1246315 1268029 2009365 2813111 6340145 8876203 11664491 14065555 19691777 44381015 58322455 81651437 98458885 408257185 571560059 921494789 2857800295 4607473945 6450463523 32252317615 45153244661 225766223305