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82272221 is a prime number
BaseRepresentation
bin1001110011101…
…01111111011101
312201210212021022
410321311333131
5132030202341
612055213525
72016205463
oct471657735
9181725238
1082272221
1142493379
12236772a5
13140776b5
14acd8833
157351e4b
hex4e75fdd

82272221 has 2 divisors, whose sum is σ = 82272222. Its totient is φ = 82272220.

The previous prime is 82272209. The next prime is 82272313. The reversal of 82272221 is 12227228.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73188025 + 9084196 = 8555^2 + 3014^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-82272221 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82272121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41136110 + 41136111.

It is an arithmetic number, because the mean of its divisors is an integer number (41136111).

Almost surely, 282272221 is an apocalyptic number.

It is an amenable number.

82272221 is a deficient number, since it is larger than the sum of its proper divisors (1).

82272221 is an equidigital number, since it uses as much as digits as its factorization.

82272221 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1792, while the sum is 26.

The square root of 82272221 is about 9070.4035742628. The cubic root of 82272221 is about 434.9283732861.

Adding to 82272221 its reverse (12227228), we get a palindrome (94499449).

The spelling of 82272221 in words is "eighty-two million, two hundred seventy-two thousand, two hundred twenty-one".