226408820 has 48 divisors (see below), whose sum is σ = 527216256. Its totient is φ = 80976000.

The previous prime is 226408801. The next prime is 226408837. The reversal of 226408820 is 28804622.

It is a happy number.

226408820 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4985 + ... + 21855.

It is an arithmetic number, because the mean of its divisors is an integer number (10983672).

Almost surely, 2^226408820 is an apocalyptic number.

226408820 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 226408820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263608128).

226408820 is an abundant number, since it is smaller than the sum of its proper divisors (300807436).

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

226408820 is a wasteful number, since it uses less digits than its factorization.

226408820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16952 (or 16950 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 226408820 is about 15046.8873857685. The cubic root of 226408820 is about 609.4870003910.

The spelling of 226408820 in words is "two hundred twenty-six million, four hundred eight thousand, eight hundred twenty".