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225342765 = 32537413301
BaseRepresentation
bin11010110111001…
…11010100101101
3120201000121011100
431123213110231
5430141432030
634205513313
75404244664
oct1533472455
9521017140
10225342765
1110622239a
1263572839
13378bb51b
1421cdbddb
1514bb3360
hexd6e752d

225342765 has 48 divisors (see below), whose sum is σ = 411059376. Its totient is φ = 114048000.

The previous prime is 225342763. The next prime is 225342797. The reversal of 225342765 is 567243522.

225342765 is a `hidden beast` number, since 225 + 3 + 427 + 6 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 17464041 + 207878724 = 4179^2 + 14418^2 .

It is not a de Polignac number, because 225342765 - 21 = 225342763 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225342763) 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 47 ways as a sum of consecutive naturals, for example, 66615 + ... + 69915.

It is an arithmetic number, because the mean of its divisors is an integer number (8563737).

Almost surely, 2225342765 is an apocalyptic number.

It is an amenable number.

225342765 is a deficient number, since it is larger than the sum of its proper divisors (185716611).

225342765 is a wasteful number, since it uses less digits than its factorization.

225342765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3390 (or 3387 counting only the distinct ones).

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

The square root of 225342765 is about 15011.4211519096. The cubic root of 225342765 is about 608.5288970711.

The spelling of 225342765 in words is "two hundred twenty-five million, three hundred forty-two thousand, seven hundred sixty-five".

Divisors: 1 3 5 9 15 37 41 45 111 123 185 205 333 369 555 615 1517 1665 1845 3301 4551 7585 9903 13653 16505 22755 29709 49515 68265 122137 135341 148545 366411 406023 610685 676705 1099233 1218069 1832055 2030115 5007617 5496165 6090345 15022851 25038085 45068553 75114255 225342765