228825216 has 128 divisors (see below), whose sum is σ = 685358400. Its totient is φ = 75147264.

The previous prime is 228825211. The next prime is 228825241. The reversal of 228825216 is 612528822.

228825216 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (228825211) 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 15 ways as a sum of consecutive naturals, for example, 251835 + ... + 252741.

Almost surely, 2^228825216 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 228825216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342679200).

228825216 is an abundant number, since it is smaller than the sum of its proper divisors (456533184).

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

228825216 is an equidigital number, since it uses as much as digits as its factorization.

228825216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 985 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 228825216 is about 15126.9698221422. The cubic root of 228825216 is about 611.6476249083.

The spelling of 228825216 in words is "two hundred twenty-eight million, eight hundred twenty-five thousand, two hundred sixteen".