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226817 is a prime number
BaseRepresentation
bin110111011000000001
3102112010122
4313120001
524224232
64510025
71633163
oct673001
9375118
10226817
11145458
12ab315
137c316
145c933
1547312
hex37601

226817 has 2 divisors, whose sum is σ = 226818. Its totient is φ = 226816.

The previous prime is 226813. The next prime is 226819. The reversal of 226817 is 718622.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 167281 + 59536 = 409^2 + 244^2 .

It is a cyclic number.

It is not a de Polignac number, because 226817 - 22 = 226813 is a prime.

Together with 226819, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (226813) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 113408 + 113409.

It is an arithmetic number, because the mean of its divisors is an integer number (113409).

It is a Proth number, since it is equal to 443 ⋅ 29 + 1 and 443 < 29.

2226817 is an apocalyptic number.

It is an amenable number.

226817 is a deficient number, since it is larger than the sum of its proper divisors (1).

226817 is an equidigital number, since it uses as much as digits as its factorization.

226817 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1344, while the sum is 26.

The square root of 226817 is about 476.2530839795. The cubic root of 226817 is about 60.9853050691.

The spelling of 226817 in words is "two hundred twenty-six thousand, eight hundred seventeen".