226329920000 has 250 divisors, whose sum is σ = 585273154983. Its totient is φ = 87410176000.

The previous prime is 226329919967. The next prime is 226329920023. The reversal of 226329920000 is 29923622.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 13 ways, for example, as 164420518144 + 61909401856 = 405488^2 + 248816^2 .

It is a tau number, because it is divible by the number of its divisors (250).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=336400.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 7804479986 + ... + 7804480014.

Almost surely, 2^226329920000 is an apocalyptic number.

226329920000 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 226329920000

226329920000 is an abundant number, since it is smaller than the sum of its proper divisors (358943234983).

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

226329920000 is an frugal number, since it uses more digits than its factorization.

226329920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 35.

The spelling of 226329920000 in words is "two hundred twenty-six billion, three hundred twenty-nine million, nine hundred twenty thousand".