228484000 has 72 divisors (see below), whose sum is σ = 563743908. Its totient is φ = 91011200.

The previous prime is 228483929. The next prime is 228484019. The reversal of 228484000 is 484822.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

228484000 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 154455184 + 74028816 = 12428^2 + 8604^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 228484000.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 955881 + ... + 956119.

Almost surely, 2^228484000 is an apocalyptic number.

228484000 is a gapful number since it is divisible by the number (20) 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 228484000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281871954).

228484000 is an abundant number, since it is smaller than the sum of its proper divisors (335259908).

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

228484000 is an frugal number, since it uses more digits than its factorization.

228484000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 228484000 is about 15115.6872156049. The cubic root of 228484000 is about 611.3434512935.

The spelling of 228484000 in words is "two hundred twenty-eight million, four hundred eighty-four thousand".