226600 has 48 divisors (see below), whose sum is σ = 580320. Its totient is φ = 81600.

The previous prime is 226571. The next prime is 226601. The reversal of 226600 is 6622.

226600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (226601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2149 + ... + 2251.

It is an arithmetic number, because the mean of its divisors is an integer number (12090).

2²²⁶⁶⁰⁰ is an apocalyptic number.

226600 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 226600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290160).

226600 is an abundant number, since it is smaller than the sum of its proper divisors (353720).

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

226600 is a wasteful number, since it uses less digits than its factorization.

226600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 226600 is about 476.0252094165. The cubic root of 226600 is about 60.9658502754.

The spelling of 226600 in words is "two hundred twenty-six thousand, six hundred".