Search a number
-
+
225651745341 = 32118389973181
BaseRepresentation
bin1101001000100111100…
…1000110001000111101
3210120110001120100211200
43102021321012020331
512144113321322331
6251355112010113
722205601121401
oct3221171061075
9716401510750
10225651745341
1187775589140
1237896390939
131838189ac09
14acc8c41101
155d0a4865e6
hex3489e4623d

225651745341 has 96 divisors (see below), whose sum is σ = 367766904960. Its totient is φ = 132174028800.

The previous prime is 225651745339. The next prime is 225651745367. The reversal of 225651745341 is 143547156522.

225651745341 is a `hidden beast` number, since 2 + 2 + 56 + 517 + 45 + 3 + 41 = 666.

It is not a de Polignac number, because 225651745341 - 21 = 225651745339 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225651745381) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70935771 + ... + 70938951.

It is an arithmetic number, because the mean of its divisors is an integer number (3830905260).

Almost surely, 2225651745341 is an apocalyptic number.

It is an amenable number.

225651745341 is a deficient number, since it is larger than the sum of its proper divisors (142115159619).

225651745341 is a wasteful number, since it uses less digits than its factorization.

225651745341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3467 (or 3464 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 45.

The spelling of 225651745341 in words is "two hundred twenty-five billion, six hundred fifty-one million, seven hundred forty-five thousand, three hundred forty-one".

Divisors: 1 3 9 11 33 83 89 97 99 249 267 291 747 801 873 913 979 1067 2739 2937 3181 3201 7387 8051 8217 8633 8811 9543 9603 22161 24153 25899 28629 34991 66483 72459 77697 81257 88561 94963 104973 243771 264023 265683 283109 284889 308557 314919 716539 731313 792069 797049 849327 854667 925671 2149617 2376207 2547981 2777013 2904253 3114199 3394127 6448851 7881929 8712759 9342597 10182381 23498047 23645787 25610231 26138277 27461573 28027791 30547143 70494141 70937361 76830693 82384719 211482423 230492079 247154157 258478517 281712541 302077303 775435551 845137623 906231909 2279310559 2326306653 2535412869 2718695727 6837931677 20513795031 25072416149 75217248447 225651745341