226430820 has 432 divisors, whose sum is σ = 936883584. Its totient is φ = 42854400.

The previous prime is 226430807. The next prime is 226430821. The reversal of 226430820 is 28034622.

226430820 is a `hidden beast` number, since 226 + 430 + 8 + 2 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226430821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7304205 + ... + 7304235.

It is an arithmetic number, because the mean of its divisors is an integer number (2168712).

Almost surely, 2^226430820 is an apocalyptic number.

226430820 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 226430820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468441792).

226430820 is an abundant number, since it is smaller than the sum of its proper divisors (710452764).

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

226430820 is a wasteful number, since it uses less digits than its factorization.

226430820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 226430820 is about 15047.6184162146. The cubic root of 226430820 is about 609.5067409054.

The spelling of 226430820 in words is "two hundred twenty-six million, four hundred thirty thousand, eight hundred twenty".