226006120 has 64 divisors (see below), whose sum is σ = 530611200. Its totient is φ = 86538240.

The previous prime is 226006111. The next prime is 226006129. The reversal of 226006120 is 21600622.

It is an interprime number because it is at equal distance from previous prime (226006111) and next prime (226006129).

It is not an unprimeable number, because it can be changed into a prime (226006129) 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, 119341 + ... + 121219.

It is an arithmetic number, because the mean of its divisors is an integer number (8290800).

Almost surely, 2^226006120 is an apocalyptic number.

226006120 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 226006120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265305600).

226006120 is an abundant number, since it is smaller than the sum of its proper divisors (304605080).

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

226006120 is a wasteful number, since it uses less digits than its factorization.

226006120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2018 (or 2014 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 226006120 is about 15033.4999251671. The cubic root of 226006120 is about 609.1254330931.

Adding to 226006120 its reverse (21600622), we get a palindrome (247606742).

The spelling of 226006120 in words is "two hundred twenty-six million, six thousand, one hundred twenty".