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222000113 is a prime number
BaseRepresentation
bin11010011101101…
…11001111110001
3120110201202220102
431032313033301
5423313000423
634010122145
75333653436
oct1516671761
9513652812
10222000113
11104349a75
1262420355
1336cbac1a
14216abb8d
1514752c28
hexd3b73f1

222000113 has 2 divisors, whose sum is σ = 222000114. Its totient is φ = 222000112.

The previous prime is 222000101. The next prime is 222000131. The reversal of 222000113 is 311000222.

It is a happy number.

Together with next prime (222000131) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 120736144 + 101263969 = 10988^2 + 10063^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-222000113 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 222000094 and 222000103.

It is not a weakly prime, because it can be changed into another prime (222000193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111000056 + 111000057.

It is an arithmetic number, because the mean of its divisors is an integer number (111000057).

Almost surely, 2222000113 is an apocalyptic number.

It is an amenable number.

222000113 is a deficient number, since it is larger than the sum of its proper divisors (1).

222000113 is an equidigital number, since it uses as much as digits as its factorization.

222000113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 222000113 is about 14899.6682177826. The cubic root of 222000113 is about 605.5049973869.

Adding to 222000113 its reverse (311000222), we get a palindrome (533000335).

The spelling of 222000113 in words is "two hundred twenty-two million, one hundred thirteen", and thus it is an aban number.