226113 has 16 divisors (see below), whose sum is σ = 328320. Its totient is φ = 137984.

The previous prime is 226103. The next prime is 226123. The reversal of 226113 is 311622.

226113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (226103) and next prime (226123).

It is a cyclic number.

It is not a de Polignac number, because 226113 - 2⁹ = 225601 is a prime.

It is a super-2 number, since 2×226113² = 102254177538, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 226092 and 226101.

It is not an unprimeable number, because it can be changed into a prime (226103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1945 + ... + 2057.

It is an arithmetic number, because the mean of its divisors is an integer number (20520).

2²²⁶¹¹³ is an apocalyptic number.

226113 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

226113 is a deficient number, since it is larger than the sum of its proper divisors (102207).

226113 is a wasteful number, since it uses less digits than its factorization.

226113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168.

The product of its digits is 72, while the sum is 15.

The square root of 226113 is about 475.5134067511. The cubic root of 226113 is about 60.9221437966.

Adding to 226113 its sum of digits (15), we get a triangular number (226128 = T₆₇₂).

Adding to 226113 its reverse (311622), we get a palindrome (537735).

The spelling of 226113 in words is "two hundred twenty-six thousand, one hundred thirteen".