Search a number
-
+
226152666529 is a prime number
BaseRepresentation
bin1101001010011110111…
…1111101010110100001
3210121201222010210112021
43102213233331112201
512201130040312104
6251520524301441
722224162643126
oct3224757752641
9717658123467
10226152666529
1187a02314699
12379b60a1881
13184315b639a
14ad3559674d
155d39432754
hex34a7bfd5a1

226152666529 has 2 divisors, whose sum is σ = 226152666530. Its totient is φ = 226152666528.

The previous prime is 226152666521. The next prime is 226152666557. The reversal of 226152666529 is 925666251622.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 217018085904 + 9134580625 = 465852^2 + 95575^2 .

It is a cyclic number.

It is not a de Polignac number, because 226152666529 - 23 = 226152666521 is a prime.

It is a super-2 number, since 2×2261526665292 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (226152666521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 113076333264 + 113076333265.

It is an arithmetic number, because the mean of its divisors is an integer number (113076333265).

Almost surely, 2226152666529 is an apocalyptic number.

It is an amenable number.

226152666529 is a deficient number, since it is larger than the sum of its proper divisors (1).

226152666529 is an equidigital number, since it uses as much as digits as its factorization.

226152666529 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4665600, while the sum is 52.

The spelling of 226152666529 in words is "two hundred twenty-six billion, one hundred fifty-two million, six hundred sixty-six thousand, five hundred twenty-nine".