Search a number
-
+
226272702704533 is a prime number
BaseRepresentation
bin110011011100101100111000…
…000100010010101110010101
31002200011110101200212212010021
4303130230320010102232111
5214124222443343021113
62121124124500025141
765442443336523412
oct6334547004225625
91080143350785107
10226272702704533
1166108794839a11
12214651ba3921b1
13993456928b964
143dc392b6a3109
151b25d13d5e48d
hexcdcb38112b95

226272702704533 has 2 divisors, whose sum is σ = 226272702704534. Its totient is φ = 226272702704532.

The previous prime is 226272702704473. The next prime is 226272702704569. The reversal of 226272702704533 is 335407207272622.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 206644276266129 + 19628426438404 = 14375127^2 + 4430398^2 .

It is a cyclic number.

It is not a de Polignac number, because 226272702704533 - 233 = 226264112769941 is a prime.

It is a super-2 number, since 2×2262727027045332 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (226272702774533) 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, 113136351352266 + 113136351352267.

It is an arithmetic number, because the mean of its divisors is an integer number (113136351352267).

Almost surely, 2226272702704533 is an apocalyptic number.

It is an amenable number.

226272702704533 is a deficient number, since it is larger than the sum of its proper divisors (1).

226272702704533 is an equidigital number, since it uses as much as digits as its factorization.

226272702704533 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11854080, while the sum is 52.

The spelling of 226272702704533 in words is "two hundred twenty-six trillion, two hundred seventy-two billion, seven hundred two million, seven hundred four thousand, five hundred thirty-three".