229485312 has 432 divisors, whose sum is σ = 857106432. Its totient is φ = 59719680.

The previous prime is 229485301. The next prime is 229485313. The reversal of 229485312 is 213584922.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

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

Its product of digits (34560) is a multiple of the sum of its prime divisors (60).

It is not an unprimeable number, because it can be changed into a prime (229485313) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 7402737 + ... + 7402767.

Almost surely, 2^229485312 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 229485312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428553216).

229485312 is an abundant number, since it is smaller than the sum of its proper divisors (627621120).

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

229485312 is an equidigital number, since it uses as much as digits as its factorization.

229485312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 60 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 229485312 is about 15148.7726235494. The cubic root of 229485312 is about 612.2352037126.

The spelling of 229485312 in words is "two hundred twenty-nine million, four hundred eighty-five thousand, three hundred twelve".