229029580800 has 468 divisors, whose sum is σ = 825467716164. Its totient is φ = 60692889600.

The previous prime is 229029580799. The next prime is 229029580807. The reversal of 229029580800 is 8085920922.

229029580800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 4671995904 + 224357584896 = 68352^2 + 473664^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (229029580807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 166808914 + ... + 166810286.

Almost surely, 2^229029580800 is an apocalyptic number.

229029580800 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 229029580800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412733858082).

229029580800 is an abundant number, since it is smaller than the sum of its proper divisors (596438135364).

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

229029580800 is a wasteful number, since it uses less digits than its factorization.

229029580800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1594 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 229029580800 in words is "two hundred twenty-nine billion, twenty-nine million, five hundred eighty thousand, eight hundred".