227820240 has 240 divisors, whose sum is σ = 807805440. Its totient is φ = 57461760.

The previous prime is 227820223. The next prime is 227820253. The reversal of 227820240 is 42028722.

227820240 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 (240).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1316794 + ... + 1316966.

It is an arithmetic number, because the mean of its divisors is an integer number (3365856).

Almost surely, 2^227820240 is an apocalyptic number.

227820240 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 227820240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403902720).

227820240 is an abundant number, since it is smaller than the sum of its proper divisors (579985200).

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

227820240 is a wasteful number, since it uses less digits than its factorization.

227820240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 227820240 is about 15093.7152484072. The cubic root of 227820240 is about 610.7508803937.

Adding to 227820240 its reverse (42028722), we get a palindrome (269848962).

The spelling of 227820240 in words is "two hundred twenty-seven million, eight hundred twenty thousand, two hundred forty".