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226258586681 is a prime number
BaseRepresentation
bin1101001010111000010…
…0000000110000111001
3210122000100110002122212
43102232010000300321
512201334144233211
6251535230424505
722226620153211
oct3225604006071
9718010402585
10226258586681
1187a5708a006
1237a25662135
131844a52072a
14ad45689241
155d438a638b
hex34ae100c39

226258586681 has 2 divisors, whose sum is σ = 226258586682. Its totient is φ = 226258586680.

The previous prime is 226258586651. The next prime is 226258586689. The reversal of 226258586681 is 186685852622.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 137356219456 + 88902367225 = 370616^2 + 298165^2 .

It is a cyclic number.

It is not a de Polignac number, because 226258586681 - 214 = 226258570297 is a prime.

It is a super-2 number, since 2×2262585866812 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 226258586681.

It is not a weakly prime, because it can be changed into another prime (226258586689) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 113129293340 + 113129293341.

It is an arithmetic number, because the mean of its divisors is an integer number (113129293341).

Almost surely, 2226258586681 is an apocalyptic number.

It is an amenable number.

226258586681 is a deficient number, since it is larger than the sum of its proper divisors (1).

226258586681 is an equidigital number, since it uses as much as digits as its factorization.

226258586681 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 22118400, while the sum is 59.

The spelling of 226258586681 in words is "two hundred twenty-six billion, two hundred fifty-eight million, five hundred eighty-six thousand, six hundred eighty-one".