224212320 has 384 divisors, whose sum is σ = 862202880. Its totient is φ = 54190080.

The previous prime is 224212319. The next prime is 224212321. The reversal of 224212320 is 23212422.

224212320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (224212319) and next prime (224212321).

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 = 224212293 and 224212302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224212321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3157885 + ... + 3157955.

It is an arithmetic number, because the mean of its divisors is an integer number (2245320).

Almost surely, 2^224212320 is an apocalyptic number.

224212320 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 224212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431101440).

224212320 is an abundant number, since it is smaller than the sum of its proper divisors (637990560).

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

224212320 is a wasteful number, since it uses less digits than its factorization.

224212320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 224212320 is about 14973.7209804377. The cubic root of 224212320 is about 607.5096172841.

Adding to 224212320 its reverse (23212422), we get a palindrome (247424742).

The spelling of 224212320 in words is "two hundred twenty-four million, two hundred twelve thousand, three hundred twenty".