224331264 has 120 divisors (see below), whose sum is σ = 655906680. Its totient is φ = 73801728.

The previous prime is 224331257. The next prime is 224331277. The reversal of 224331264 is 462133422.

224331264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 409839 + ... + 410385.

It is an arithmetic number, because the mean of its divisors is an integer number (5465889).

Almost surely, 2^224331264 is an apocalyptic number.

224331264 is a gapful number since it is divisible by the number (24) 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 224331264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327953340).

224331264 is an abundant number, since it is smaller than the sum of its proper divisors (431575416).

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

224331264 is an equidigital number, since it uses as much as digits as its factorization.

224331264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 641 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 224331264 is about 14977.6922120866. The cubic root of 224331264 is about 607.6170256695.

Adding to 224331264 its reverse (462133422), we get a palindrome (686464686).

The spelling of 224331264 in words is "two hundred twenty-four million, three hundred thirty-one thousand, two hundred sixty-four".