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226226433637 is a prime number
BaseRepresentation
bin1101001010110000100…
…1010110111001100101
3210121221002221112222101
43102230021112321211
512201302431334022
6251532121332101
722226046646441
oct3225411267145
9717832845871
10226226433637
1187a3aa18a46
1237a16937031
1318443973769
14ad412b9821
155d40b54627
hex34ac256e65

226226433637 has 2 divisors, whose sum is σ = 226226433638. Its totient is φ = 226226433636.

The previous prime is 226226433583. The next prime is 226226433659. The reversal of 226226433637 is 736334622622.

226226433637 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 185583470436 + 40642963201 = 430794^2 + 201601^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-226226433637 is a prime.

It is a super-2 number, since 2×2262264336372 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (226226433337) 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, 113113216818 + 113113216819.

It is an arithmetic number, because the mean of its divisors is an integer number (113113216819).

Almost surely, 2226226433637 is an apocalyptic number.

It is an amenable number.

226226433637 is a deficient number, since it is larger than the sum of its proper divisors (1).

226226433637 is an equidigital number, since it uses as much as digits as its factorization.

226226433637 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2612736, while the sum is 46.

The spelling of 226226433637 in words is "two hundred twenty-six billion, two hundred twenty-six million, four hundred thirty-three thousand, six hundred thirty-seven".