226176 has 64 divisors (see below), whose sum is σ = 652800. Its totient is φ = 69120.

The previous prime is 226169. The next prime is 226183. The reversal of 226176 is 671622.

It is a happy number.

226176 is digitally balanced in base 3, 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 (226169) and next prime (226183).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

226176 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 7 ways as a sum of consecutive naturals, for example, 7281 + ... + 7311.

It is an arithmetic number, because the mean of its divisors is an integer number (10200).

2²²⁶¹⁷⁶ 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 226176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326400).

226176 is an abundant number, since it is smaller than the sum of its proper divisors (426624).

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

226176 is a wasteful number, since it uses less digits than its factorization.

226176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 55 counting only the distinct ones).

The product of its digits is 1008, while the sum is 24.

The square root of 226176 is about 475.5796463265. The cubic root of 226176 is about 60.9278013493.

Adding to 226176 its reverse (671622), we get a palindrome (897798).

The spelling of 226176 in words is "two hundred twenty-six thousand, one hundred seventy-six".