226522000 has 80 divisors (see below), whose sum is σ = 558325872. Its totient is φ = 88857600.

The previous prime is 226521961. The next prime is 226522001. The reversal of 226522000 is 225622.

226522000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 111260304 + 115261696 = 10548^2 + 10736^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226522001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104932 + ... + 107068.

Almost surely, 2^226522000 is an apocalyptic number.

226522000 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 226522000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279162936).

226522000 is an abundant number, since it is smaller than the sum of its proper divisors (331803872).

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

226522000 is a wasteful number, since it uses less digits than its factorization.

226522000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2213 (or 2197 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 226522000 is about 15050.6478265887. The cubic root of 226522000 is about 609.5885427358.

Adding to 226522000 its reverse (225622), we get a palindrome (226747622).

The spelling of 226522000 in words is "two hundred twenty-six million, five hundred twenty-two thousand".