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226764361 is a prime number
BaseRepresentation
bin11011000010000…
…10011001001001
3120210200211020001
431201002121021
5431022424421
634300203001
75422315405
oct1541023111
9523624201
10226764361
1110700346a
1263b39461
1337c985c5
142218c105
1514d94691
hexd842649

226764361 has 2 divisors, whose sum is σ = 226764362. Its totient is φ = 226764360.

The previous prime is 226764359. The next prime is 226764403. The reversal of 226764361 is 163467622.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 226683136 + 81225 = 15056^2 + 285^2 .

It is a cyclic number.

It is not a de Polignac number, because 226764361 - 21 = 226764359 is a prime.

It is a super-3 number, since 3×2267643613 (a number of 26 digits) contains 333 as substring.

Together with 226764359, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 226764361.

It is not a weakly prime, because it can be changed into another prime (226764301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 113382180 + 113382181.

It is an arithmetic number, because the mean of its divisors is an integer number (113382181).

Almost surely, 2226764361 is an apocalyptic number.

It is an amenable number.

226764361 is a deficient number, since it is larger than the sum of its proper divisors (1).

226764361 is an equidigital number, since it uses as much as digits as its factorization.

226764361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 72576, while the sum is 37.

The square root of 226764361 is about 15058.6971880040. The cubic root of 226764361 is about 609.8058694264.

The spelling of 226764361 in words is "two hundred twenty-six million, seven hundred sixty-four thousand, three hundred sixty-one".