228006240 has 384 divisors, whose sum is σ = 928972800. Its totient is φ = 45619200.

The previous prime is 228006217. The next prime is 228006257. The reversal of 228006240 is 42600822.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 228006240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1145661 + ... + 1145859.

It is an arithmetic number, because the mean of its divisors is an integer number (2419200).

Almost surely, 2^228006240 is an apocalyptic number.

228006240 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 228006240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464486400).

228006240 is an abundant number, since it is smaller than the sum of its proper divisors (700966560).

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

228006240 is a wasteful number, since it uses less digits than its factorization.

228006240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 228006240 is about 15099.8754961755. The cubic root of 228006240 is about 610.9170476056.

The spelling of 228006240 in words is "two hundred twenty-eight million, six thousand, two hundred forty".