224308968 has 96 divisors (see below), whose sum is σ = 628495200. Its totient is φ = 66603264.

The previous prime is 224308961. The next prime is 224308969. The reversal of 224308968 is 869803422.

It is not an unprimeable number, because it can be changed into a prime (224308961) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 116671 + ... + 118577.

It is an arithmetic number, because the mean of its divisors is an integer number (6546825).

Almost surely, 2^224308968 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 224308968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314247600).

224308968 is an abundant number, since it is smaller than the sum of its proper divisors (404186232).

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

224308968 is a wasteful number, since it uses less digits than its factorization.

224308968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1971 (or 1954 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 224308968 is about 14976.9478866690. The cubic root of 224308968 is about 607.5968949072.

The spelling of 224308968 in words is "two hundred twenty-four million, three hundred eight thousand, nine hundred sixty-eight".