224564352 has 64 divisors (see below), whose sum is σ = 604745760. Its totient is φ = 73820160.

The previous prime is 224564317. The next prime is 224564357. The reversal of 224564352 is 253465422.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (224564357) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24027 + ... + 32037.

Almost surely, 2^224564352 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 224564352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302372880).

224564352 is an abundant number, since it is smaller than the sum of its proper divisors (380181408).

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

224564352 is an equidigital number, since it uses as much as digits as its factorization.

224564352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8101 (or 8089 counting only the distinct ones).

The product of its digits is 57600, while the sum is 33.

The square root of 224564352 is about 14985.4713639578. The cubic root of 224564352 is about 607.8273979122.

The spelling of 224564352 in words is "two hundred twenty-four million, five hundred sixty-four thousand, three hundred fifty-two".