Search a number
-
+
225207675 = 33527211619
BaseRepresentation
bin11010110110001…
…10010101111011
3120200202201212000
431123012111323
5430123121200
634202552043
75403143100
oct1533062573
9520681760
10225207675
1110613a950
1263508623
1337871ba4
1421ca4aa7
1514b88300
hexd6c657b

225207675 has 144 divisors (see below), whose sum is σ = 525859200. Its totient is φ = 93441600.

The previous prime is 225207667. The next prime is 225207677. The reversal of 225207675 is 576702522.

It is not a de Polignac number, because 225207675 - 23 = 225207667 is a prime.

It is not an unprimeable number, because it can be changed into a prime (225207677) 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 143 ways as a sum of consecutive naturals, for example, 363516 + ... + 364134.

It is an arithmetic number, because the mean of its divisors is an integer number (3651800).

Almost surely, 2225207675 is an apocalyptic number.

225207675 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

225207675 is an abundant number, since it is smaller than the sum of its proper divisors (300651525).

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

225207675 is a wasteful number, since it uses less digits than its factorization.

225207675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 225207675 is about 15006.9209033699. The cubic root of 225207675 is about 608.4072710949.

The spelling of 225207675 in words is "two hundred twenty-five million, two hundred seven thousand, six hundred seventy-five".

Divisors: 1 3 5 7 9 11 15 21 25 27 33 35 45 49 55 63 75 77 99 105 135 147 165 175 189 225 231 245 275 297 315 385 441 495 525 539 619 675 693 735 825 945 1155 1225 1323 1485 1575 1617 1857 1925 2079 2205 2475 2695 3095 3465 3675 4333 4725 4851 5571 5775 6615 6809 7425 8085 9285 10395 11025 12999 13475 14553 15475 16713 17325 20427 21665 24255 27855 30331 33075 34045 38997 40425 46425 47663 51975 61281 64995 72765 83565 90993 102135 108325 116991 121275 139275 142989 151655 170225 183843 194985 238315 272979 306405 324975 333641 363825 417825 428967 454965 510675 584955 714945 758275 818937 919215 974925 1000923 1191575 1286901 1364895 1532025 1668205 2144835 2274825 2924775 3002769 3574725 4094685 4596075 5004615 6434505 6824475 8341025 9008307 10724175 15013845 20473425 25023075 32172525 45041535 75069225 225207675