226180 has 24 divisors (see below), whose sum is σ = 487872. Its totient is φ = 88032.

The previous prime is 226169. The next prime is 226183. The reversal of 226180 is 81622.

It is a happy number.

226180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (226183) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 729 + ... + 991.

It is an arithmetic number, because the mean of its divisors is an integer number (20328).

2²²⁶¹⁸⁰ is an apocalyptic number.

226180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243936).

226180 is an abundant number, since it is smaller than the sum of its proper divisors (261692).

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

226180 is a wasteful number, since it uses less digits than its factorization.

226180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 226180 is about 475.5838517023. The cubic root of 226180 is about 60.9281605235.

It can be divided in two parts, 226 and 180, that added together give a triangular number (406 = T₂₈).

The spelling of 226180 in words is "two hundred twenty-six thousand, one hundred eighty".