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226155267037457 is a prime number
BaseRepresentation
bin110011011010111111100000…
…010110110001100100010001
31002122202020021101221212002022
4303122333200112301210101
5214120311441330144312
62120554143450101225
765431115226031322
oct6332774026614421
91078666241855068
10226155267037457
1166072a014290aa
12214464a541a815
139926472439c64
143dbbd8ab56449
151b22c3e091172
hexcdafe05b1911

226155267037457 has 2 divisors, whose sum is σ = 226155267037458. Its totient is φ = 226155267037456.

The previous prime is 226155267037423. The next prime is 226155267037459. The reversal of 226155267037457 is 754730762551622.

226155267037457 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., 209600206835776 + 16555060201681 = 14477576^2 + 4068791^2 .

It is a cyclic number.

It is not a de Polignac number, because 226155267037457 - 26 = 226155267037393 is a prime.

It is a super-2 number, since 2×2261552670374572 (a number of 30 digits) contains 22 as substring.

Together with 226155267037459, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 226155267037457.

It is not a weakly prime, because it can be changed into another prime (226155267037459) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 113077633518728 + 113077633518729.

It is an arithmetic number, because the mean of its divisors is an integer number (113077633518729).

Almost surely, 2226155267037457 is an apocalyptic number.

It is an amenable number.

226155267037457 is a deficient number, since it is larger than the sum of its proper divisors (1).

226155267037457 is an equidigital number, since it uses as much as digits as its factorization.

226155267037457 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 148176000, while the sum is 62.

The spelling of 226155267037457 in words is "two hundred twenty-six trillion, one hundred fifty-five billion, two hundred sixty-seven million, thirty-seven thousand, four hundred fifty-seven".