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164312325 = 3252730277
BaseRepresentation
bin10011100101100…
…11010100000101
3102110011221010200
421302303110011
5314030443300
624145441113
74033426452
oct1162632405
9373157120
10164312325
1184828311
1247040199
1328070538
1417b72829
15e65a200
hex9cb3505

164312325 has 18 divisors (see below), whose sum is σ = 294302034. Its totient is φ = 87633120.

The previous prime is 164312321. The next prime is 164312333. The reversal of 164312325 is 523213461.

164312325 is a `hidden beast` number, since 1 + 643 + 12 + 3 + 2 + 5 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 53494596 + 110817729 = 7314^2 + 10527^2 .

It is not a de Polignac number, because 164312325 - 22 = 164312321 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164312321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 364914 + ... + 365363.

It is an arithmetic number, because the mean of its divisors is an integer number (16350113).

Almost surely, 2164312325 is an apocalyptic number.

164312325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

164312325 is a deficient number, since it is larger than the sum of its proper divisors (129989709).

164312325 is a wasteful number, since it uses less digits than its factorization.

164312325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730293 (or 730285 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 164312325 is about 12818.4369171908. The cubic root of 164312325 is about 547.7176216256.

Adding to 164312325 its reverse (523213461), we get a palindrome (687525786).

The spelling of 164312325 in words is "one hundred sixty-four million, three hundred twelve thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 730277 2190831 3651385 6572493 10954155 18256925 32862465 54770775 164312325