226466402000 has 80 divisors (see below), whose sum is σ = 548036798400. Its totient is φ = 90513603200.

The previous prime is 226466401991. The next prime is 226466402011. The reversal of 226466402000 is 204664622.

226466402000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2473031 + ... + 2562969.

It is an arithmetic number, because the mean of its divisors is an integer number (6850459980).

Almost surely, 2^226466402000 is an apocalyptic number.

226466402000 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 226466402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274018399200).

226466402000 is an abundant number, since it is smaller than the sum of its proper divisors (321570396400).

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

226466402000 is a wasteful number, since it uses less digits than its factorization.

226466402000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91221 (or 91205 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The spelling of 226466402000 in words is "two hundred twenty-six billion, four hundred sixty-six million, four hundred two thousand".