224228840 has 64 divisors (see below), whose sum is σ = 574335360. Its totient is φ = 77989120.

The previous prime is 224228839. The next prime is 224228857. The reversal of 224228840 is 48822422.

It is a happy number.

224228840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 224228797 and 224228806.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 959 + ... + 21198.

It is an arithmetic number, because the mean of its divisors is an integer number (8973990).

Almost surely, 2^224228840 is an apocalyptic number.

224228840 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 224228840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287167680).

224228840 is an abundant number, since it is smaller than the sum of its proper divisors (350106520).

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

224228840 is a wasteful number, since it uses less digits than its factorization.

224228840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22202 (or 22198 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The square root of 224228840 is about 14974.2726033688. The cubic root of 224228840 is about 607.5245373866.

The spelling of 224228840 in words is "two hundred twenty-four million, two hundred twenty-eight thousand, eight hundred forty".