Search a number
-
+
226738541 is a prime number
BaseRepresentation
bin11011000001111…
…00000101101101
3120210122111210202
431200330011231
5431021113131
634255443245
75422150211
oct1540740555
9523574722
10226738541
11106a96027
1263b26525
1337c89923
1422182941
1514d8bbcb
hexd83c16d

226738541 has 2 divisors, whose sum is σ = 226738542. Its totient is φ = 226738540.

The previous prime is 226738493. The next prime is 226738543. The reversal of 226738541 is 145837622.

It is a happy number.

226738541 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., 221116900 + 5621641 = 14870^2 + 2371^2 .

It is a cyclic number.

It is not a de Polignac number, because 226738541 - 222 = 222544237 is a prime.

Together with 226738543, 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 = 226738495 and 226738504.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (226738543) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 113369270 + 113369271.

It is an arithmetic number, because the mean of its divisors is an integer number (113369271).

Almost surely, 2226738541 is an apocalyptic number.

It is an amenable number.

226738541 is a deficient number, since it is larger than the sum of its proper divisors (1).

226738541 is an equidigital number, since it uses as much as digits as its factorization.

226738541 is an evil number, because the sum of its binary digits is even.

The product of its digits is 80640, while the sum is 38.

The square root of 226738541 is about 15057.8398517184. The cubic root of 226738541 is about 609.7827238358.

The spelling of 226738541 in words is "two hundred twenty-six million, seven hundred thirty-eight thousand, five hundred forty-one".