226400705000 has 80 divisors (see below), whose sum is σ = 538374914880. Its totient is φ = 89208504000.

The previous prime is 226400704961. The next prime is 226400705009. The reversal of 226400705000 is 507004622.

226400705000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (226400705009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2912 + ... + 672911.

It is an arithmetic number, because the mean of its divisors is an integer number (6729686436).

Almost surely, 2^226400705000 is an apocalyptic number.

226400705000 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 226400705000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269187457440).

226400705000 is an abundant number, since it is smaller than the sum of its proper divisors (311974209880).

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

226400705000 is an equidigital number, since it uses as much as digits as its factorization.

226400705000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675916 (or 675897 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

Adding to 226400705000 its reverse (507004622), we get a palindrome (226907709622).

The spelling of 226400705000 in words is "two hundred twenty-six billion, four hundred million, seven hundred five thousand".