224211220 has 48 divisors (see below), whose sum is σ = 492000768. Its totient is φ = 85726080.

The previous prime is 224211167. The next prime is 224211223. The reversal of 224211220 is 22112422.

It is a junction number, because it is equal to n+sod(n) for n = 224211194 and 224211203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224211223) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 49282 + ... + 53638.

It is an arithmetic number, because the mean of its divisors is an integer number (10250016).

Almost surely, 2^224211220 is an apocalyptic number.

224211220 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 224211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246000384).

224211220 is an abundant number, since it is smaller than the sum of its proper divisors (267789548).

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

224211220 is a wasteful number, since it uses less digits than its factorization.

224211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4480 (or 4478 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 224211220 is about 14973.6842493756. The cubic root of 224211220 is about 607.5086237888.

Adding to 224211220 its reverse (22112422), we get a palindrome (246323642).

The spelling of 224211220 in words is "two hundred twenty-four million, two hundred eleven thousand, two hundred twenty".