226820608 has 60 divisors (see below), whose sum is σ = 527248062. Its totient is φ = 97198080.

The previous prime is 226820597. The next prime is 226820609. The reversal of 226820608 is 806028622.

It can be written as a sum of positive squares in only one way, i.e., 122943744 + 103876864 = 11088^2 + 10192^2 .

It is not an unprimeable number, because it can be changed into a prime (226820609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20568 + ... + 29608.

Almost surely, 2^226820608 is an apocalyptic number.

226820608 is a gapful number since it is divisible by the number (28) 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 226820608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263624031).

226820608 is an abundant number, since it is smaller than the sum of its proper divisors (300427454).

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

226820608 is an frugal number, since it uses more digits than its factorization.

226820608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9073 (or 9050 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 226820608 is about 15060.5646640490. The cubic root of 226820608 is about 609.8562843374.

The spelling of 226820608 in words is "two hundred twenty-six million, eight hundred twenty thousand, six hundred eight".