226911906000 has 720 divisors, whose sum is σ = 868155528240. Its totient is φ = 55207526400.

The previous prime is 226911905999. The next prime is 226911906037. The reversal of 226911906000 is 609119622.

It can be written as a sum of positive squares in 24 ways, for example, as 208220641344 + 18691264656 = 456312^2 + 136716^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 295073616 + ... + 295074384.

It is an arithmetic number, because the mean of its divisors is an integer number (1205771567).

Almost surely, 2^226911906000 is an apocalyptic number.

226911906000 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 226911906000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434077764120).

226911906000 is an abundant number, since it is smaller than the sum of its proper divisors (641243622240).

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

226911906000 is a wasteful number, since it uses less digits than its factorization.

226911906000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 226911906000 in words is "two hundred twenty-six billion, nine hundred eleven million, nine hundred six thousand".