Search a number
-
+
225996246 = 232729127487
BaseRepresentation
bin11010111100001…
…10110111010110
3120202020210120100
431132012313112
5430323334441
634231514530
75412636120
oct1536066726
9522223510
10225996246
11106629363
1263828a46
1337a89ab8
142202c210
1514c91cb6
hexd786dd6

225996246 has 96 divisors (see below), whose sum is σ = 584663040. Its totient is φ = 61725888.

The previous prime is 225996209. The next prime is 225996263. The reversal of 225996246 is 642699522.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 463815 + ... + 464301.

It is an arithmetic number, because the mean of its divisors is an integer number (6090240).

Almost surely, 2225996246 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225996246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292331520).

225996246 is an abundant number, since it is smaller than the sum of its proper divisors (358666794).

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

225996246 is a wasteful number, since it uses less digits than its factorization.

225996246 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 655 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 225996246 is about 15033.1715216717. The cubic root of 225996246 is about 609.1165622535.

The spelling of 225996246 in words is "two hundred twenty-five million, nine hundred ninety-six thousand, two hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 58 63 87 126 127 174 203 254 261 381 406 487 522 609 762 889 974 1143 1218 1461 1778 1827 2286 2667 2922 3409 3654 3683 4383 5334 6818 7366 8001 8766 10227 11049 14123 16002 20454 22098 25781 28246 30681 33147 42369 51562 61362 61849 66294 77343 84738 98861 123698 127107 154686 185547 197722 232029 254214 296583 371094 432943 464058 556641 593166 865886 889749 1113282 1298829 1779498 1793621 2597658 3587242 3896487 5380863 7792974 10761726 12555347 16142589 25110694 32285178 37666041 75332082 112998123 225996246