224313000 has 64 divisors (see below), whose sum is σ = 699865920. Its totient is φ = 59816000.

The previous prime is 224312989. The next prime is 224313017. The reversal of 224313000 is 313422.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34386 + ... + 40385.

It is an arithmetic number, because the mean of its divisors is an integer number (10935405).

Almost surely, 2^224313000 is an apocalyptic number.

224313000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224313000 is an abundant number, since it is smaller than the sum of its proper divisors (475552920).

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

224313000 is a wasteful number, since it uses less digits than its factorization.

224313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74795 (or 74781 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 224313000 is about 14977.0824929290. The cubic root of 224313000 is about 607.6005354453.

Adding to 224313000 its reverse (313422), we get a palindrome (224626422).

The spelling of 224313000 in words is "two hundred twenty-four million, three hundred thirteen thousand".