226413311000 has 128 divisors (see below), whose sum is σ = 556372402560. Its totient is φ = 86074560000.

The previous prime is 226413310987. The next prime is 226413311017. The reversal of 226413311000 is 113314622.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3579650 + ... + 3642350.

It is an arithmetic number, because the mean of its divisors is an integer number (4346659395).

Almost surely, 2^226413311000 is an apocalyptic number.

226413311000 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 226413311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278186201280).

226413311000 is an abundant number, since it is smaller than the sum of its proper divisors (329959091560).

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

226413311000 is a wasteful number, since it uses less digits than its factorization.

226413311000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62902 (or 62888 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 226413311000 its reverse (113314622), we get a palindrome (226526625622).

The spelling of 226413311000 in words is "two hundred twenty-six billion, four hundred thirteen million, three hundred eleven thousand".