226331424000 has 432 divisors, whose sum is σ = 888455865024. Its totient is φ = 54867456000.

The previous prime is 226331423959. The next prime is 226331424001. The reversal of 226331424000 is 424133622.

226331424000 is a `hidden beast` number, since 2 + 2 + 633 + 1 + 4 + 24 + 0 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226331424001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3132279 + ... + 3203721.

Almost surely, 2^226331424000 is an apocalyptic number.

226331424000 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 226331424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444227932512).

226331424000 is an abundant number, since it is smaller than the sum of its proper divisors (662124441024).

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

226331424000 is a wasteful number, since it uses less digits than its factorization.

226331424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71491 (or 71464 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 226331424000 its reverse (424133622), we get a palindrome (226755557622).

The spelling of 226331424000 in words is "two hundred twenty-six billion, three hundred thirty-one million, four hundred twenty-four thousand".