224708832 has 72 divisors (see below), whose sum is σ = 659655360. Its totient is φ = 72483840.

The previous prime is 224708831. The next prime is 224708843. The reversal of 224708832 is 238807422.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224708831) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3657 + ... + 21512.

It is an arithmetic number, because the mean of its divisors is an integer number (9161880).

Almost surely, 2^224708832 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 224708832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329827680).

224708832 is an abundant number, since it is smaller than the sum of its proper divisors (434946528).

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

224708832 is a wasteful number, since it uses less digits than its factorization.

224708832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25216 (or 25205 counting only the distinct ones).

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

The square root of 224708832 is about 14990.2912580110. The cubic root of 224708832 is about 607.9577244382.

The spelling of 224708832 in words is "two hundred twenty-four million, seven hundred eight thousand, eight hundred thirty-two".