226116 has 36 divisors (see below), whose sum is σ = 624624. Its totient is φ = 68400.

The previous prime is 226103. The next prime is 226123. The reversal of 226116 is 611622.

It is a happy number.

226116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×226116² = 102256890912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 12.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 226116.

It is an unprimeable number.

226116 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111 + ... + 681.

2²²⁶¹¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312312).

226116 is an abundant number, since it is smaller than the sum of its proper divisors (398508).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

226116 is a wasteful number, since it uses less digits than its factorization.

226116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 587 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 226116 is about 475.5165612258. The cubic root of 226116 is about 60.9224132277.

Adding to 226116 its reverse (611622), we get a palindrome (837738).

The spelling of 226116 in words is "two hundred twenty-six thousand, one hundred sixteen".