224311164 has 192 divisors, whose sum is σ = 693633024. Its totient is φ = 54720000.

The previous prime is 224311163. The next prime is 224311181. The reversal of 224311164 is 461113422.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (1152) is a multiple of the sum of its prime factors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224311163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1174309 + ... + 1174499.

It is an arithmetic number, because the mean of its divisors is an integer number (3612672).

Almost surely, 2^224311164 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 224311164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346816512).

224311164 is an abundant number, since it is smaller than the sum of its proper divisors (469321860).

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

224311164 is a wasteful number, since it uses less digits than its factorization.

224311164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 286 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 224311164 is about 14977.0211991571. The cubic root of 224311164 is about 607.5988777057.

Adding to 224311164 its reverse (461113422), we get a palindrome (685424586).

The spelling of 224311164 in words is "two hundred twenty-four million, three hundred eleven thousand, one hundred sixty-four".