226642206000 has 320 divisors, whose sum is σ = 848778817536. Its totient is φ = 50954112000.

The previous prime is 226642205989. The next prime is 226642206017. The reversal of 226642206000 is 602246622.

226642206000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 63 ways as a sum of consecutive naturals, for example, 2517769 + ... + 2606231.

Almost surely, 2^226642206000 is an apocalyptic number.

226642206000 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 226642206000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424389408768).

226642206000 is an abundant number, since it is smaller than the sum of its proper divisors (622136611536).

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

226642206000 is a wasteful number, since it uses less digits than its factorization.

226642206000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88557 (or 88541 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 226642206000 in words is "two hundred twenty-six billion, six hundred forty-two million, two hundred six thousand".