nth term and sum in APMedium

Arithmetic Progression Summation Property

Let a₁, a₂, …, a₂₀₂₄ be an Arithmetic Progression such that a₁ + (a₅ + a₁₀ + a₁₅ + … + a₂₀₂₀) + a₂₀₂₄ = 2233. Then $\frac{1}{{11}}\left( {{{\text {a}}_{\text {1}}} + {\text { }}{{\text {a}}_{\text {2}}} + {\text { }}{{\text {a}}_{\text {3}}} + {\text { }} \ldots {\text { }} + {\text { }}{{\text {a}}_{{\text {2}}0{\text {24}}}}} \right)$ is equal to ________.

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