226816000 has 104 divisors (see below), whose sum is σ = 567341424. Its totient is φ = 90521600.

The previous prime is 226815997. The next prime is 226816033. The reversal of 226816000 is 618622.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 511779 + ... + 512221.

It is an arithmetic number, because the mean of its divisors is an integer number (5455206).

Almost surely, 2^226816000 is an apocalyptic number.

226816000 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 226816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283670712).

226816000 is an abundant number, since it is smaller than the sum of its proper divisors (340525424).

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

226816000 is an frugal number, since it uses more digits than its factorization.

226816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 226816000 is about 15060.4116809601. The cubic root of 226816000 is about 609.8521544410.

The spelling of 226816000 in words is "two hundred twenty-six million, eight hundred sixteen thousand".