224564052 has 48 divisors (see below), whose sum is σ = 555307200. Its totient is φ = 70506240.

The previous prime is 224564051. The next prime is 224564069. The reversal of 224564052 is 250465422.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224564051) 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, 6399 + ... + 22137.

It is an arithmetic number, because the mean of its divisors is an integer number (11568900).

Almost surely, 2^224564052 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 224564052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277653600).

224564052 is an abundant number, since it is smaller than the sum of its proper divisors (330743148).

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

224564052 is a wasteful number, since it uses less digits than its factorization.

224564052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15816 (or 15814 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 224564052 is about 14985.4613542593. The cubic root of 224564052 is about 607.8271272425.

The spelling of 224564052 in words is "two hundred twenty-four million, five hundred sixty-four thousand, fifty-two".