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225248247 = 3272510767
BaseRepresentation
bin11010110110100…
…00001111110111
3120200211210111200
431123100033313
5430130420442
634203503543
75403402300
oct1533201767
9520753450
10225248247
11106168384
1263527bb3
13378874b3
1421cb57a7
1514b9534c
hexd6d03f7

225248247 has 18 divisors (see below), whose sum is σ = 378479088. Its totient is φ = 128713032.

The previous prime is 225248239. The next prime is 225248273. The reversal of 225248247 is 742842522.

It is not a de Polignac number, because 225248247 - 23 = 225248239 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225248227) 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 17 ways as a sum of consecutive naturals, for example, 254943 + ... + 255824.

It is an arithmetic number, because the mean of its divisors is an integer number (21026616).

Almost surely, 2225248247 is an apocalyptic number.

225248247 is a deficient number, since it is larger than the sum of its proper divisors (153230841).

225248247 is a wasteful number, since it uses less digits than its factorization.

225248247 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510787 (or 510777 counting only the distinct ones).

The product of its digits is 71680, while the sum is 36.

The square root of 225248247 is about 15008.2726187926. The cubic root of 225248247 is about 608.4438045117.

The spelling of 225248247 in words is "two hundred twenty-five million, two hundred forty-eight thousand, two hundred forty-seven".

Divisors: 1 3 7 9 21 49 63 147 441 510767 1532301 3575369 4596903 10726107 25027583 32178321 75082749 225248247