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82226933 is a prime number
BaseRepresentation
bin1001110011010…
…10111011110101
312201201120010222
410321222323311
5132022230213
612054224125
72015626445
oct471527365
9181646128
1082226933
1142462348
1223655045
131405cbb9
14acc6125
157343808
hex4e6aef5

82226933 has 2 divisors, whose sum is σ = 82226934. Its totient is φ = 82226932.

The previous prime is 82226917. The next prime is 82226941. The reversal of 82226933 is 33962228.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80694289 + 1532644 = 8983^2 + 1238^2 .

It is a cyclic number.

It is not a de Polignac number, because 82226933 - 24 = 82226917 is a prime.

It is a super-2 number, since 2×822269332 = 13522537021172978, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82226893 and 82226902.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82226993) 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 as a sum of consecutive naturals, namely, 41113466 + 41113467.

It is an arithmetic number, because the mean of its divisors is an integer number (41113467).

Almost surely, 282226933 is an apocalyptic number.

It is an amenable number.

82226933 is a deficient number, since it is larger than the sum of its proper divisors (1).

82226933 is an equidigital number, since it uses as much as digits as its factorization.

82226933 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 31104, while the sum is 35.

The square root of 82226933 is about 9067.9067595559. The cubic root of 82226933 is about 434.8485543176.

The spelling of 82226933 in words is "eighty-two million, two hundred twenty-six thousand, nine hundred thirty-three".