224211456 has 240 divisors, whose sum is σ = 774370080. Its totient is φ = 63866880.

The previous prime is 224211451. The next prime is 224211461. The reversal of 224211456 is 654112422.

It is an interprime number because it is at equal distance from previous prime (224211451) and next prime (224211461).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (224211451) 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 23 ways as a sum of consecutive naturals, for example, 677211 + ... + 677541.

It is an arithmetic number, because the mean of its divisors is an integer number (3226542).

Almost surely, 2^224211456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224211456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387185040).

224211456 is an abundant number, since it is smaller than the sum of its proper divisors (550158624).

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

224211456 is an equidigital number, since it uses as much as digits as its factorization.

224211456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 343 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 224211456 is about 14973.6921298656. The cubic root of 224211456 is about 607.5088369390.

Adding to 224211456 its reverse (654112422), we get a palindrome (878323878).

The spelling of 224211456 in words is "two hundred twenty-four million, two hundred eleven thousand, four hundred fifty-six".