224168032 has 48 divisors (see below), whose sum is σ = 484529472. Its totient is φ = 101243520.

The previous prime is 224168029. The next prime is 224168039. The reversal of 224168032 is 230861422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224168039) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 55423 + ... + 59329.

It is an arithmetic number, because the mean of its divisors is an integer number (10094364).

Almost surely, 2^224168032 is an apocalyptic number.

224168032 is a gapful number since it is divisible by the number (22) 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 224168032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242264736).

224168032 is an abundant number, since it is smaller than the sum of its proper divisors (260361440).

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

224168032 is a wasteful number, since it uses less digits than its factorization.

224168032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4091 (or 4083 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 224168032 is about 14972.2420498735. The cubic root of 224168032 is about 607.4696147876.

The spelling of 224168032 in words is "two hundred twenty-four million, one hundred sixty-eight thousand, thirty-two".