228003840 has 156 divisors (see below), whose sum is σ = 790955724. Its totient is φ = 60751872.

The previous prime is 228003833. The next prime is 228003851. The reversal of 228003840 is 48300822.

228003840 is a `hidden beast` number, since 2 + 280 + 0 + 384 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 128323584 + 99680256 = 11328^2 + 9984^2 .

It is a nialpdrome in base 16.

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, 183702 + ... + 184938.

It is an arithmetic number, because the mean of its divisors is an integer number (5070229).

Almost surely, 2^228003840 is an apocalyptic number.

228003840 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 228003840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395477862).

228003840 is an abundant number, since it is smaller than the sum of its proper divisors (562951884).

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

228003840 is a wasteful number, since it uses less digits than its factorization.

228003840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 228003840 is about 15099.7960251124. The cubic root of 228003840 is about 610.9149040882.

The spelling of 228003840 in words is "two hundred twenty-eight million, three thousand, eight hundred forty".