228266304 has 168 divisors, whose sum is σ = 740115360. Its totient is φ = 61737984.

The previous prime is 228266267. The next prime is 228266309. The reversal of 228266304 is 403662822.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228266309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178114 + ... + 179390.

Almost surely, 2^228266304 is an apocalyptic number.

228266304 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 228266304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370057680).

228266304 is an abundant number, since it is smaller than the sum of its proper divisors (511849056).

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

228266304 is a wasteful number, since it uses less digits than its factorization.

228266304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 228266304 is about 15108.4845037482. The cubic root of 228266304 is about 611.1492300875.

It can be divided in two parts, 2282 and 66304, that added together give a palindrome (68586).

The spelling of 228266304 in words is "two hundred twenty-eight million, two hundred sixty-six thousand, three hundred four".