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226444424417 is a prime number
BaseRepresentation
bin1101001011100100100…
…0111011010011100001
3210122111022010122002222
43102321020323103201
512202224233040132
6252005505520425
722234334564201
oct3227110732341
9718438118088
10226444424417
1188041a79712
1237a77943115
1318479b897a3
14ad62222401
155d54d64412
hex34b923b4e1

226444424417 has 2 divisors, whose sum is σ = 226444424418. Its totient is φ = 226444424416.

The previous prime is 226444424413. The next prime is 226444424489. The reversal of 226444424417 is 714424444622.

226444424417 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 115845610321 + 110598814096 = 340361^2 + 332564^2 .

It is a cyclic number.

It is not a de Polignac number, because 226444424417 - 22 = 226444424413 is a prime.

It is not a weakly prime, because it can be changed into another prime (226444424413) 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, 113222212208 + 113222212209.

It is an arithmetic number, because the mean of its divisors is an integer number (113222212209).

Almost surely, 2226444424417 is an apocalyptic number.

It is an amenable number.

226444424417 is a deficient number, since it is larger than the sum of its proper divisors (1).

226444424417 is an equidigital number, since it uses as much as digits as its factorization.

226444424417 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1376256, while the sum is 44.

The spelling of 226444424417 in words is "two hundred twenty-six billion, four hundred forty-four million, four hundred twenty-four thousand, four hundred seventeen".