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225544095 = 3557231153
BaseRepresentation
bin11010111000110…
…00011110011111
3120201101211100000
431130120132133
5430214402340
634214105343
75406043650
oct1534303637
9521354300
10225544095
1110634a687
126364b253
133795c05a
1421d51527
1514c02d30
hexd71879f

225544095 has 96 divisors (see below), whose sum is σ = 483904512. Its totient is φ = 98537472.

The previous prime is 225544091. The next prime is 225544129. The reversal of 225544095 is 590445522.

225544095 is a `hidden beast` number, since 2 + 25 + 544 + 0 + 95 = 666.

It is not a de Polignac number, because 225544095 - 22 = 225544091 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225544091) 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 95 ways as a sum of consecutive naturals, for example, 195039 + ... + 196191.

It is an arithmetic number, because the mean of its divisors is an integer number (5040672).

Almost surely, 2225544095 is an apocalyptic number.

225544095 is an abundant number, since it is smaller than the sum of its proper divisors (258360417).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225544095 is a wasteful number, since it uses less digits than its factorization.

225544095 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 225544095 is about 15018.1255488160. The cubic root of 225544095 is about 608.7100709292.

The spelling of 225544095 in words is "two hundred twenty-five million, five hundred forty-four thousand, ninety-five".

Divisors: 1 3 5 7 9 15 21 23 27 35 45 63 69 81 105 115 135 161 189 207 243 315 345 405 483 567 621 805 945 1035 1153 1215 1449 1701 1863 2415 2835 3105 3459 4347 5589 5765 7245 8071 8505 9315 10377 13041 17295 21735 24213 26519 27945 31131 39123 40355 51885 65205 72639 79557 93393 121065 132595 155655 185633 195615 217917 238671 280179 363195 397785 466965 556899 653751 716013 928165 1089585 1193355 1400895 1670697 1961253 2148039 2784495 3268755 3580065 5012091 6444117 8353485 9806265 10740195 15036273 25060455 32220585 45108819 75181365 225544095