229126840320 has 896 divisors, whose sum is σ = 879869329920. Its totient is φ = 49828331520.

The previous prime is 229126840309. The next prime is 229126840333. The reversal of 229126840320 is 23048621922.

It is a tau number, because it is divible by the number of its divisors (896).

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 63 ways as a sum of consecutive naturals, for example, 2574458836 + ... + 2574458924.

It is an arithmetic number, because the mean of its divisors is an integer number (981997020).

Almost surely, 2^229126840320 is an apocalyptic number.

229126840320 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 229126840320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439934664960).

229126840320 is an abundant number, since it is smaller than the sum of its proper divisors (650742489600).

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

229126840320 is an equidigital number, since it uses as much as digits as its factorization.

229126840320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 229126840320 in words is "two hundred twenty-nine billion, one hundred twenty-six million, eight hundred forty thousand, three hundred twenty".