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225452313 = 3225050257
BaseRepresentation
bin11010111000000…
…10000100011001
3120201020011102200
431130002010121
5430203433223
634212120413
75405212242
oct1534020431
9521204380
10225452313
11106297729
1263606109
1337929348
1421d29cc9
1514bd5a43
hexd702119

225452313 has 6 divisors (see below), whose sum is σ = 325653354. Its totient is φ = 150301536.

The previous prime is 225452299. The next prime is 225452327. The reversal of 225452313 is 313254522.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (225452299) and next prime (225452327).

It can be written as a sum of positive squares in only one way, i.e., 171164889 + 54287424 = 13083^2 + 7368^2 .

It is not a de Polignac number, because 225452313 - 221 = 223355161 is a prime.

It is a super-3 number, since 3×2254523133 (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (225452363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12525120 + ... + 12525137.

It is an arithmetic number, because the mean of its divisors is an integer number (54275559).

Almost surely, 2225452313 is an apocalyptic number.

It is an amenable number.

225452313 is a deficient number, since it is larger than the sum of its proper divisors (100201041).

225452313 is a wasteful number, since it uses less digits than its factorization.

225452313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25050263 (or 25050260 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 225452313 is about 15015.0695303085. The cubic root of 225452313 is about 608.6274910567.

The spelling of 225452313 in words is "two hundred twenty-five million, four hundred fifty-two thousand, three hundred thirteen".

Divisors: 1 3 9 25050257 75150771 225452313