229408284800 has 72 divisors (see below), whose sum is σ = 566777093085. Its totient is φ = 91752476160.

The previous prime is 229408284757. The next prime is 229408284827. The reversal of 229408284800 is 8482804922.

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.

229408284800 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 2 ways, for example, as 224820119104 + 4588165696 = 474152^2 + 67736^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=338680.

It is a super-2 number, since 2×229408284800² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 27090167 + ... + 27098633.

Almost surely, 2^229408284800 is an apocalyptic number.

229408284800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

229408284800 is an abundant number, since it is smaller than the sum of its proper divisors (337368808285).

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

229408284800 is an frugal number, since it uses more digits than its factorization.

229408284800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16958 (or 8474 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 47.

The spelling of 229408284800 in words is "two hundred twenty-nine billion, four hundred eight million, two hundred eighty-four thousand, eight hundred".