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225432432 = 24324138183
BaseRepresentation
bin11010110111111…
…01001101110000
3120201012011011100
431123331031300
5430202314212
634211444400
75405100261
oct1533751560
9521164140
10225432432
111062837a5
12635b6700
1337920294
1421d22968
1514bcebdc
hexd6fd370

225432432 has 60 divisors (see below), whose sum is σ = 646302384. Its totient is φ = 73309440.

The previous prime is 225432413. The next prime is 225432469. The reversal of 225432432 is 234234522.

It is a happy number.

225432432 is a `hidden beast` number, since 225 + 4 + 3 + 2 + 432 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 225432396 and 225432405.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 13188 + ... + 24995.

Almost surely, 2225432432 is an apocalyptic number.

It is an amenable number.

225432432 is an abundant number, since it is smaller than the sum of its proper divisors (420869952).

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

225432432 is a wasteful number, since it uses less digits than its factorization.

225432432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38238 (or 38229 counting only the distinct ones).

The product of its digits is 11520, while the sum is 27.

The square root of 225432432 is about 15014.4074808166. The cubic root of 225432432 is about 608.6096003867.

Adding to 225432432 its reverse (234234522), we get a palindrome (459666954).

The spelling of 225432432 in words is "two hundred twenty-five million, four hundred thirty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 328 369 492 656 738 984 1476 1968 2952 5904 38183 76366 114549 152732 229098 305464 343647 458196 610928 687294 916392 1374588 1565503 1832784 2749176 3131006 4696509 5498352 6262012 9393018 12524024 14089527 18786036 25048048 28179054 37572072 56358108 75144144 112716216 225432432