224601552 has 240 divisors, whose sum is σ = 785723520. Its totient is φ = 60162048.

The previous prime is 224601551. The next prime is 224601563. The reversal of 224601552 is 255106422.

224601552 is a `hidden beast` number, since 2 + 2 + 4 + 601 + 5 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224601551) 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 47 ways as a sum of consecutive naturals, for example, 873808 + ... + 874064.

It is an arithmetic number, because the mean of its divisors is an integer number (3273848).

Almost surely, 2^224601552 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 224601552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392861760).

224601552 is an abundant number, since it is smaller than the sum of its proper divisors (561121968).

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

224601552 is a wasteful number, since it uses less digits than its factorization.

224601552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 224601552 is about 14986.7125147579. The cubic root of 224601552 is about 607.8609590876.

Adding to 224601552 its reverse (255106422), we get a palindrome (479707974).

The spelling of 224601552 in words is "two hundred twenty-four million, six hundred one thousand, five hundred fifty-two".