226528000 has 72 divisors (see below), whose sum is σ = 564389280. Its totient is φ = 90598400.

The previous prime is 226527991. The next prime is 226528021. The reversal of 226528000 is 825622.

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

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, 28461 + ... + 35539.

It is an arithmetic number, because the mean of its divisors is an integer number (7838740).

Almost surely, 2^226528000 is an apocalyptic number.

226528000 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 226528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282194640).

226528000 is an abundant number, since it is smaller than the sum of its proper divisors (337861280).

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

226528000 is an frugal number, since it uses more digits than its factorization.

226528000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7110 (or 7086 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 226528000 is about 15050.8471522370. The cubic root of 226528000 is about 609.5939248458.

The spelling of 226528000 in words is "two hundred twenty-six million, five hundred twenty-eight thousand".