224411220 has 288 divisors, whose sum is σ = 806682240. Its totient is φ = 49889280.

The previous prime is 224411189. The next prime is 224411267. The reversal of 224411220 is 22114422.

224411220 is a `hidden beast` number, since 2 + 2 + 441 + 1 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 224411193 and 224411202.

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 95 ways as a sum of consecutive naturals, for example, 1985884 + ... + 1985996.

It is an arithmetic number, because the mean of its divisors is an integer number (2800980).

Almost surely, 2^224411220 is an apocalyptic number.

224411220 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 224411220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403341120).

224411220 is an abundant number, since it is smaller than the sum of its proper divisors (582271020).

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

224411220 is a wasteful number, since it uses less digits than its factorization.

224411220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 224411220 is about 14980.3611438443. The cubic root of 224411220 is about 607.6892059135.

Adding to 224411220 its reverse (22114422), we get a palindrome (246525642).

The spelling of 224411220 in words is "two hundred twenty-four million, four hundred eleven thousand, two hundred twenty".