226304100 has 108 divisors (see below), whose sum is σ = 773856720. Its totient is φ = 54859200.

The previous prime is 226304077. The next prime is 226304101. The reversal of 226304100 is 1403622.

It is a happy number.

226304100 is a `hidden beast` number, since 22 + 630 + 4 + 10 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (226304101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1530 + ... + 21329.

It is an arithmetic number, because the mean of its divisors is an integer number (7165340).

Almost surely, 2^226304100 is an apocalyptic number.

226304100 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 226304100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386928360).

226304100 is an abundant number, since it is smaller than the sum of its proper divisors (547552620).

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

226304100 is a wasteful number, since it uses less digits than its factorization.

226304100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22890 (or 22880 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 226304100 is about 15043.4071938507. The cubic root of 226304100 is about 609.3930180077.

Adding to 226304100 its reverse (1403622), we get a palindrome (227707722).

The spelling of 226304100 in words is "two hundred twenty-six million, three hundred four thousand, one hundred".