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226567141 is a prime number
BaseRepresentation
bin11011000000100…
…10001111100101
3120210022210200121
431200102033211
5431000122031
634252041541
75420534413
oct1540221745
9523283617
10226567141
11106989279
1263a632b1
1337c298c8
142213a2b3
1514d56011
hexd8123e5

226567141 has 2 divisors, whose sum is σ = 226567142. Its totient is φ = 226567140.

The previous prime is 226567123. The next prime is 226567151. The reversal of 226567141 is 141765622.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 189612900 + 36954241 = 13770^2 + 6079^2 .

It is a cyclic number.

It is not a de Polignac number, because 226567141 - 211 = 226565093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 226567097 and 226567106.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (226567151) 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 as a sum of consecutive naturals, namely, 113283570 + 113283571.

It is an arithmetic number, because the mean of its divisors is an integer number (113283571).

Almost surely, 2226567141 is an apocalyptic number.

It is an amenable number.

226567141 is a deficient number, since it is larger than the sum of its proper divisors (1).

226567141 is an equidigital number, since it uses as much as digits as its factorization.

226567141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 20160, while the sum is 34.

The square root of 226567141 is about 15052.1473883297. The cubic root of 226567141 is about 609.6290327084.

The spelling of 226567141 in words is "two hundred twenty-six million, five hundred sixty-seven thousand, one hundred forty-one".