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225346275 = 325271113007
BaseRepresentation
bin11010110111010…
…00001011100011
3120201000202222100
431123220023203
5430142040100
634205541443
75404261140
oct1533501343
9521022870
10225346275
11106224aa0
1263574883
13378bccbb
1421cdd3c7
1514bb4400
hexd6e82e3

225346275 has 72 divisors (see below), whose sum is σ = 503253504. Its totient is φ = 93643200.

The previous prime is 225346217. The next prime is 225346283. The reversal of 225346275 is 572643522.

225346275 is a `hidden beast` number, since 2 + 25 + 3 + 4 + 627 + 5 = 666.

It is not a de Polignac number, because 225346275 - 211 = 225344227 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10822 + ... + 23828.

It is an arithmetic number, because the mean of its divisors is an integer number (6989632).

Almost surely, 2225346275 is an apocalyptic number.

225346275 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

225346275 is an abundant number, since it is smaller than the sum of its proper divisors (277907229).

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

225346275 is a wasteful number, since it uses less digits than its factorization.

225346275 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13041 (or 13033 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 225346275 is about 15011.5380624372. The cubic root of 225346275 is about 608.5320565917.

Adding to 225346275 its reverse (572643522), we get a palindrome (797989797).

The spelling of 225346275 in words is "two hundred twenty-five million, three hundred forty-six thousand, two hundred seventy-five".

Divisors: 1 3 5 7 9 11 15 21 25 33 35 45 55 63 75 77 99 105 165 175 225 231 275 315 385 495 525 693 825 1155 1575 1925 2475 3465 5775 13007 17325 39021 65035 91049 117063 143077 195105 273147 325175 429231 455245 585315 715385 819441 975525 1001539 1287693 1365735 2146155 2276225 2926575 3004617 3576925 4097205 5007695 6438465 6828675 9013851 10730775 15023085 20486025 25038475 32192325 45069255 75115425 225346275