229955328 has 288 divisors, whose sum is σ = 765273600. Its totient is φ = 67682304.

The previous prime is 229955291. The next prime is 229955359. The reversal of 229955328 is 823559922.

229955328 is a `hidden beast` number, since 2 + 2 + 99 + 553 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

Its product of digits (388800) is a multiple of the sum of its prime divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2232525 + ... + 2232627.

It is an arithmetic number, because the mean of its divisors is an integer number (2657200).

Almost surely, 2^229955328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229955328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382636800).

229955328 is an abundant number, since it is smaller than the sum of its proper divisors (535318272).

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

229955328 is a wasteful number, since it uses less digits than its factorization.

229955328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 144 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 229955328 is about 15164.2780243571. The cubic root of 229955328 is about 612.6528979945.

The spelling of 229955328 in words is "two hundred twenty-nine million, nine hundred fifty-five thousand, three hundred twenty-eight".