224142768 has 80 divisors (see below), whose sum is σ = 646684800. Its totient is φ = 74329920.

The previous prime is 224142761. The next prime is 224142817. The reversal of 224142768 is 867241422.

224142768 is a `hidden beast` number, since 224 + 1 + 427 + 6 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (224142761) 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, 89923 + ... + 92381.

It is an arithmetic number, because the mean of its divisors is an integer number (8083560).

Almost surely, 2^224142768 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 224142768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323342400).

224142768 is an abundant number, since it is smaller than the sum of its proper divisors (422542032).

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

224142768 is a wasteful number, since it uses less digits than its factorization.

224142768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2687 (or 2675 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 224142768 is about 14971.3983314853. The cubic root of 224142768 is about 607.4467930843.

The spelling of 224142768 in words is "two hundred twenty-four million, one hundred forty-two thousand, seven hundred sixty-eight".