Search a number
-
+
226104629 is a prime number
BaseRepresentation
bin11010111101000…
…01010100110101
3120202110022020112
431132201110311
5430340322004
634234112405
75413600112
oct1536412465
9522408215
10226104629
111066a2833
126387b705
1337ac722a
1422059909
1514cb3e6e
hexd7a1535

226104629 has 2 divisors, whose sum is σ = 226104630. Its totient is φ = 226104628.

The previous prime is 226104623. The next prime is 226104631. The reversal of 226104629 is 926401622.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 142802500 + 83302129 = 11950^2 + 9127^2 .

It is a cyclic number.

It is not a de Polignac number, because 226104629 - 212 = 226100533 is a prime.

It is a super-3 number, since 3×2261046293 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 226104631, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 226104595 and 226104604.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (226104623) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 113052314 + 113052315.

It is an arithmetic number, because the mean of its divisors is an integer number (113052315).

Almost surely, 2226104629 is an apocalyptic number.

It is an amenable number.

226104629 is a deficient number, since it is larger than the sum of its proper divisors (1).

226104629 is an equidigital number, since it uses as much as digits as its factorization.

226104629 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 226104629 is about 15036.7758844774. The cubic root of 226104629 is about 609.2139198140.

The spelling of 226104629 in words is "two hundred twenty-six million, one hundred four thousand, six hundred twenty-nine".