229538304 has 120 divisors (see below), whose sum is σ = 670003620. Its totient is φ = 75644928.

The previous prime is 229538279. The next prime is 229538317. The reversal of 229538304 is 403835922.

It can be written as a sum of positive squares in 2 ways, for example, as 208744704 + 20793600 = 14448^2 + 4560^2 .

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

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 502044 + ... + 502500.

Almost surely, 2^229538304 is an apocalyptic number.

229538304 is a gapful number since it is divisible by the number (24) 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 229538304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335001810).

229538304 is an abundant number, since it is smaller than the sum of its proper divisors (440465316).

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

229538304 is a wasteful number, since it uses less digits than its factorization.

229538304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 229538304 is about 15150.5215751802. The cubic root of 229538304 is about 612.2823252048.

The spelling of 229538304 in words is "two hundred twenty-nine million, five hundred thirty-eight thousand, three hundred four".