229948800 has 192 divisors, whose sum is σ = 802515600. Its totient is φ = 57671680.

The previous prime is 229948799. The next prime is 229948837. The reversal of 229948800 is 8849922.

229948800 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 (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162496 + ... + 163904.

Almost surely, 2^229948800 is an apocalyptic number.

229948800 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 229948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401257800).

229948800 is an abundant number, since it is smaller than the sum of its proper divisors (572566800).

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

229948800 is a wasteful number, since it uses less digits than its factorization.

229948800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1453 (or 1436 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 229948800 is about 15164.0627801391. The cubic root of 229948800 is about 612.6471005845.

The spelling of 229948800 in words is "two hundred twenty-nine million, nine hundred forty-eight thousand, eight hundred".