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2226353 is a prime number
BaseRepresentation
bin1000011111100010110001
311012002222112
420133202301
51032220403
6115415105
724631553
oct10374261
94162875
102226353
111290768
128b4495
135cc48c
1441d4d3
152de9d8
hex21f8b1

2226353 has 2 divisors, whose sum is σ = 2226354. Its totient is φ = 2226352.

The previous prime is 2226319. The next prime is 2226373. The reversal of 2226353 is 3536222.

It is a happy number.

2226353 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., 2226064 + 289 = 1492^2 + 17^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2226353 is a prime.

It is a Chen prime.

It is a d-powerful number, because it can be written as 24 + 210 + 218 + 64 + 37 + 59 + 38 .

It is not a weakly prime, because it can be changed into another prime (2226313) 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, 1113176 + 1113177.

It is an arithmetic number, because the mean of its divisors is an integer number (1113177).

22226353 is an apocalyptic number.

It is an amenable number.

2226353 is a deficient number, since it is larger than the sum of its proper divisors (1).

2226353 is an equidigital number, since it uses as much as digits as its factorization.

2226353 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2160, while the sum is 23.

The square root of 2226353 is about 1492.0968467228. The cubic root of 2226353 is about 130.5763952314.

The spelling of 2226353 in words is "two million, two hundred twenty-six thousand, three hundred fifty-three".