226584820 has 72 divisors (see below), whose sum is σ = 603862560. Its totient is φ = 70620480.

The previous prime is 226584803. The next prime is 226584829. The reversal of 226584820 is 28485622.

It is a self number, because there is not a number n which added to its sum of digits gives 226584820.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226584829) 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 23 ways as a sum of consecutive naturals, for example, 271 + ... + 21289.

It is an arithmetic number, because the mean of its divisors is an integer number (8386980).

Almost surely, 2^226584820 is an apocalyptic number.

226584820 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 226584820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301931280).

226584820 is an abundant number, since it is smaller than the sum of its proper divisors (377277740).

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

226584820 is a wasteful number, since it uses less digits than its factorization.

226584820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21053 (or 21044 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 37.

The square root of 226584820 is about 15052.7346352747. The cubic root of 226584820 is about 609.6448887167.

The spelling of 226584820 in words is "two hundred twenty-six million, five hundred eighty-four thousand, eight hundred twenty".