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226838369 is a prime number
BaseRepresentation
bin11011000010101…
…00011101100001
3120210211120202002
431201110131201
5431032311434
634301533345
75423044232
oct1541243541
9523746662
10226838369
1110705402a
1263b74255
1337cc31b4
14221ab089
1514dab57e
hexd854761

226838369 has 2 divisors, whose sum is σ = 226838370. Its totient is φ = 226838368.

The previous prime is 226838333. The next prime is 226838389. The reversal of 226838369 is 963838622.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 122389969 + 104448400 = 11063^2 + 10220^2 .

It is a cyclic number.

It is not a de Polignac number, because 226838369 - 212 = 226834273 is a prime.

It is a super-2 number, since 2×2268383692 = 102911291301160322, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (226838389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 113419184 + 113419185.

It is an arithmetic number, because the mean of its divisors is an integer number (113419185).

Almost surely, 2226838369 is an apocalyptic number.

It is an amenable number.

226838369 is a deficient number, since it is larger than the sum of its proper divisors (1).

226838369 is an equidigital number, since it uses as much as digits as its factorization.

226838369 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 746496, while the sum is 47.

The square root of 226838369 is about 15061.1543050325. The cubic root of 226838369 is about 609.8722020191.

The spelling of 226838369 in words is "two hundred twenty-six million, eight hundred thirty-eight thousand, three hundred sixty-nine".