224040264 has 64 divisors (see below), whose sum is σ = 642729600. Its totient is φ = 63750144.

The previous prime is 224040259. The next prime is 224040269. The reversal of 224040264 is 462040422.

It is an interprime number because it is at equal distance from previous prime (224040259) and next prime (224040269).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (224040269) 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, 40582 + ... + 45770.

It is an arithmetic number, because the mean of its divisors is an integer number (10042650).

Almost surely, 2^224040264 is an apocalyptic number.

224040264 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 224040264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321364800).

224040264 is an abundant number, since it is smaller than the sum of its proper divisors (418689336).

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

224040264 is a wasteful number, since it uses less digits than its factorization.

224040264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5462 (or 5458 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 224040264 is about 14967.9746124852. The cubic root of 224040264 is about 607.3541806529.

Adding to 224040264 its reverse (462040422), we get a palindrome (686080686).

The spelling of 224040264 in words is "two hundred twenty-four million, forty thousand, two hundred sixty-four".