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212582041 = 7211338393
BaseRepresentation
bin11001010101110…
…11111010011001
3112211000021201221
430222323322121
5413410111131
633032212041
75160626500
oct1452737231
9484007657
10212582041
11a9aa7041
125b23a021
13350711b9
1420339837
15139e2411
hexcabbe99

212582041 has 12 divisors (see below), whose sum is σ = 249484212. Its totient is φ = 180595968.

The previous prime is 212582039. The next prime is 212582053. The reversal of 212582041 is 140285212.

It can be written as a sum of positive squares in 2 ways, for example, as 26832400 + 185749641 = 5180^2 + 13629^2 .

It is not a de Polignac number, because 212582041 - 21 = 212582039 is a prime.

It is a super-2 number, since 2×2125820412 = 90382248311451362, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 212581997 and 212582015.

It is not an unprimeable number, because it can be changed into a prime (212582021) 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 11 ways as a sum of consecutive naturals, for example, 13660 + ... + 24733.

It is an arithmetic number, because the mean of its divisors is an integer number (20790351).

Almost surely, 2212582041 is an apocalyptic number.

It is an amenable number.

212582041 is a deficient number, since it is larger than the sum of its proper divisors (36902171).

212582041 is a wasteful number, since it uses less digits than its factorization.

212582041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38520 (or 38513 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 212582041 is about 14580.1934486481. The cubic root of 212582041 is about 596.8183818119.

The spelling of 212582041 in words is "two hundred twelve million, five hundred eighty-two thousand, forty-one".

Divisors: 1 7 49 113 791 5537 38393 268751 1881257 4338409 30368863 212582041