229960800 has 324 divisors, whose sum is σ = 874904940. Its totient is φ = 56678400.

The previous prime is 229960771. The next prime is 229960813. The reversal of 229960800 is 8069922.

229960800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 5608780 + ... + 5608820.

Almost surely, 2^229960800 is an apocalyptic number.

229960800 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 229960800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437452470).

229960800 is an abundant number, since it is smaller than the sum of its proper divisors (644944140).

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

229960800 is a wasteful number, since it uses less digits than its factorization.

229960800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 229960800 is about 15164.4584473037. The cubic root of 229960800 is about 612.6577575036.

The spelling of 229960800 in words is "two hundred twenty-nine million, nine hundred sixty thousand, eight hundred".