224269344 has 192 divisors, whose sum is σ = 723098880. Its totient is φ = 67184640.

The previous prime is 224269327. The next prime is 224269351. The reversal of 224269344 is 443962422.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 224269299 and 224269308.

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 31 ways as a sum of consecutive naturals, for example, 460269 + ... + 460755.

It is an arithmetic number, because the mean of its divisors is an integer number (3766140).

Almost surely, 2^224269344 is an apocalyptic number.

224269344 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 224269344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361549440).

224269344 is an abundant number, since it is smaller than the sum of its proper divisors (498829536).

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

224269344 is a wasteful number, since it uses less digits than its factorization.

224269344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 546 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 224269344 is about 14975.6249953049. The cubic root of 224269344 is about 607.5611156317.

The spelling of 224269344 in words is "two hundred twenty-four million, two hundred sixty-nine thousand, three hundred forty-four".