226604000 has 96 divisors (see below), whose sum is σ = 636382656. Its totient is φ = 77683200.

The previous prime is 226603987. The next prime is 226604003. The reversal of 226604000 is 406622.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226604003) 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 15 ways as a sum of consecutive naturals, for example, 23954 + ... + 32046.

It is an arithmetic number, because the mean of its divisors is an integer number (6628986).

Almost surely, 2^226604000 is an apocalyptic number.

226604000 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 226604000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318191328).

226604000 is an abundant number, since it is smaller than the sum of its proper divisors (409778656).

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

226604000 is an equidigital number, since it uses as much as digits as its factorization.

226604000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8125 (or 8107 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 226604000 is about 15053.3717153334. The cubic root of 226604000 is about 609.6620900147.

The spelling of 226604000 in words is "two hundred twenty-six million, six hundred four thousand".