228306816 has 128 divisors (see below), whose sum is σ = 695884800. Its totient is φ = 73612800.

The previous prime is 228306791. The next prime is 228306829. The reversal of 228306816 is 618603822.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106071 + ... + 108201.

It is an arithmetic number, because the mean of its divisors is an integer number (5436600).

Almost surely, 2^228306816 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 228306816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347942400).

228306816 is an abundant number, since it is smaller than the sum of its proper divisors (467577984).

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

228306816 is a wasteful number, since it uses less digits than its factorization.

228306816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2185 (or 2167 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 228306816 is about 15109.8251478963. The cubic root of 228306816 is about 611.1853829093.

It can be divided in two parts, 22830 and 6816, that added together give a triangular number (29646 = T₂₄₃).

The spelling of 228306816 in words is "two hundred twenty-eight million, three hundred six thousand, eight hundred sixteen".