227821440 has 512 divisors, whose sum is σ = 958832640. Its totient is φ = 44605440.

The previous prime is 227821427. The next prime is 227821441. The reversal of 227821440 is 44128722.

227821440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 227821398 and 227821407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (227821441) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 3400287 + ... + 3400353.

It is an arithmetic number, because the mean of its divisors is an integer number (1872720).

Almost surely, 2^227821440 is an apocalyptic number.

227821440 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 227821440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479416320).

227821440 is an abundant number, since it is smaller than the sum of its proper divisors (731011200).

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

227821440 is a wasteful number, since it uses less digits than its factorization.

227821440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 227821440 is about 15093.7549999992. The cubic root of 227821440 is about 610.7519527301.

The spelling of 227821440 in words is "two hundred twenty-seven million, eight hundred twenty-one thousand, four hundred forty".