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2226372133 is a prime number
BaseRepresentation
bin1000010010110011…
…1011111000100101
312202011022102102011
42010230323320211
514024422402013
61004530514221
7106112564566
oct20454737045
95664272364
102226372133
11a42802377
12521735971
1329633627b
1417198416d
15d06cac3d
hex84b3be25

2226372133 has 2 divisors, whose sum is σ = 2226372134. Its totient is φ = 2226372132.

The previous prime is 2226372097. The next prime is 2226372149. The reversal of 2226372133 is 3312736222.

It is a happy number.

2226372133 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., 1920017124 + 306355009 = 43818^2 + 17503^2 .

It is a cyclic number.

It is not a de Polignac number, because 2226372133 - 221 = 2224274981 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2226372095 and 2226372104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2226373133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1113186066 + 1113186067.

It is an arithmetic number, because the mean of its divisors is an integer number (1113186067).

Almost surely, 22226372133 is an apocalyptic number.

It is an amenable number.

2226372133 is a deficient number, since it is larger than the sum of its proper divisors (1).

2226372133 is an equidigital number, since it uses as much as digits as its factorization.

2226372133 is an evil number, because the sum of its binary digits is even.

The product of its digits is 18144, while the sum is 31.

The square root of 2226372133 is about 47184.4479993144. The cubic root of 2226372133 is about 1305.7676928276.

The spelling of 2226372133 in words is "two billion, two hundred twenty-six million, three hundred seventy-two thousand, one hundred thirty-three".