224125824 has 256 divisors, whose sum is σ = 719712000. Its totient is φ = 61046784.

The previous prime is 224125793. The next prime is 224125829. The reversal of 224125824 is 428521422.

224125824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 224125791 and 224125800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224125829) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1612347 + ... + 1612485.

It is an arithmetic number, because the mean of its divisors is an integer number (2811375).

Almost surely, 2^224125824 is an apocalyptic number.

224125824 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 224125824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359856000).

224125824 is an abundant number, since it is smaller than the sum of its proper divisors (495586176).

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

224125824 is a wasteful number, since it uses less digits than its factorization.

224125824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 193 counting only the distinct ones).

The product of its digits is 10240, while the sum is 30.

The square root of 224125824 is about 14970.8324417849. The cubic root of 224125824 is about 607.4314861174.

The spelling of 224125824 in words is "two hundred twenty-four million, one hundred twenty-five thousand, eight hundred twenty-four".