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225212673 = 3723747881
BaseRepresentation
bin11010110110001…
…11100100000001
3120200202222201010
431123013210001
5430123301143
634203031133
75403163500
oct1533074401
9520688633
10225212673
11106143684
126350b4a9
133787424a
1421ca6837
1514b89a33
hexd6c7901

225212673 has 48 divisors (see below), whose sum is σ = 366799104. Its totient is φ = 122411520.

The previous prime is 225212633. The next prime is 225212677. The reversal of 225212673 is 376212522.

It is not a de Polignac number, because 225212673 - 28 = 225212417 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 225212673.

It is not an unprimeable number, because it can be changed into a prime (225212677) 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 47 ways as a sum of consecutive naturals, for example, 255193 + ... + 256073.

It is an arithmetic number, because the mean of its divisors is an integer number (7641648).

Almost surely, 2225212673 is an apocalyptic number.

It is an amenable number.

225212673 is a deficient number, since it is larger than the sum of its proper divisors (141586431).

225212673 is a wasteful number, since it uses less digits than its factorization.

225212673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 975 counting only the distinct ones).

The product of its digits is 10080, while the sum is 30.

The square root of 225212673 is about 15007.0874256133. The cubic root of 225212673 is about 608.4117718252.

The spelling of 225212673 in words is "two hundred twenty-five million, two hundred twelve thousand, six hundred seventy-three".

Divisors: 1 3 7 21 37 47 49 111 141 147 259 329 777 881 987 1739 1813 2303 2643 5217 5439 6167 6909 12173 18501 32597 36519 41407 43169 85211 97791 124221 129507 228179 255633 289849 684537 869547 1532059 1597253 2028943 4596177 4791759 6086829 10724413 32173239 75070891 225212673