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82212225 = 3521096163
BaseRepresentation
bin1001110011001…
…11010110000001
312201200210222020
410321213112001
5132021242400
612054032053
72015535534
oct471472601
9181623866
1082212225
1142452297
1223648629
13140562b4
14acc0a1b
15733e2a0
hex4e67581

82212225 has 12 divisors (see below), whose sum is σ = 135924336. Its totient is φ = 43846480.

The previous prime is 82212223. The next prime is 82212239. The reversal of 82212225 is 52221228.

It is not a de Polignac number, because 82212225 - 21 = 82212223 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82212195 and 82212204.

It is not an unprimeable number, because it can be changed into a prime (82212223) 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 11 ways as a sum of consecutive naturals, for example, 548007 + ... + 548156.

It is an arithmetic number, because the mean of its divisors is an integer number (11327028).

Almost surely, 282212225 is an apocalyptic number.

It is an amenable number.

82212225 is a deficient number, since it is larger than the sum of its proper divisors (53712111).

82212225 is a wasteful number, since it uses less digits than its factorization.

82212225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096176 (or 1096171 counting only the distinct ones).

The product of its digits is 1280, while the sum is 24.

The square root of 82212225 is about 9067.0957312692. The cubic root of 82212225 is about 434.8226255306.

The spelling of 82212225 in words is "eighty-two million, two hundred twelve thousand, two hundred twenty-five".

Divisors: 1 3 5 15 25 75 1096163 3288489 5480815 16442445 27404075 82212225