229903200 has 216 divisors, whose sum is σ = 833571648. Its totient is φ = 59581440.

The previous prime is 229903181. The next prime is 229903217. The reversal of 229903200 is 2309922.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 265969 + ... + 266831.

It is an arithmetic number, because the mean of its divisors is an integer number (3859128).

Almost surely, 2^229903200 is an apocalyptic number.

229903200 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 229903200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416785824).

229903200 is an abundant number, since it is smaller than the sum of its proper divisors (603668448).

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

229903200 is a wasteful number, since it uses less digits than its factorization.

229903200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 229903200 is about 15162.5591507502. The cubic root of 229903200 is about 612.6066009100.

The spelling of 229903200 in words is "two hundred twenty-nine million, nine hundred three thousand, two hundred".