229080278400 has 384 divisors, whose sum is σ = 791704089600. Its totient is φ = 58143744000.

The previous prime is 229080278377. The next prime is 229080278429. The reversal of 229080278400 is 4872080922.

229080278400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18147291 + ... + 18159909.

It is an arithmetic number, because the mean of its divisors is an integer number (2061729400).

Almost surely, 2^229080278400 is an apocalyptic number.

229080278400 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 229080278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395852044800).

229080278400 is an abundant number, since it is smaller than the sum of its proper divisors (562623811200).

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

229080278400 is a wasteful number, since it uses less digits than its factorization.

229080278400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12738 (or 12721 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 229080278400 in words is "two hundred twenty-nine billion, eighty million, two hundred seventy-eight thousand, four hundred".