226419200 has 270 divisors, whose sum is σ = 688711221. Its totient is φ = 73543680.

The previous prime is 226419173. The next prime is 226419203. The reversal of 226419200 is 2914622.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 221890816 + 4528384 = 14896^2 + 2128^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=10640.

It is a self number, because there is not a number n which added to its sum of digits gives 226419200.

It is not an unprimeable number, because it can be changed into a prime (226419203) 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 26 ways as a sum of consecutive naturals, for example, 11916791 + ... + 11916809.

Almost surely, 2^226419200 is an apocalyptic number.

226419200 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 226419200

226419200 is an abundant number, since it is smaller than the sum of its proper divisors (462292021).

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

226419200 is an equidigital number, since it uses as much as digits as its factorization.

226419200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 226419200 is about 15047.2323036497. The cubic root of 226419200 is about 609.4963144839.

The spelling of 226419200 in words is "two hundred twenty-six million, four hundred nineteen thousand, two hundred".