224768752 has 80 divisors (see below), whose sum is σ = 483281568. Its totient is φ = 100638720.

The previous prime is 224768749. The next prime is 224768777. The reversal of 224768752 is 257867422.

It is a junction number, because it is equal to n+sod(n) for n = 224768699 and 224768708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1715727 + ... + 1715857.

Almost surely, 2^224768752 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 224768752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241640784).

224768752 is an abundant number, since it is smaller than the sum of its proper divisors (258512816).

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

224768752 is a wasteful number, since it uses less digits than its factorization.

224768752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 332 counting only the distinct ones).

The product of its digits is 376320, while the sum is 43.

The square root of 224768752 is about 14992.2897517357. The cubic root of 224768752 is about 608.0117581983.

The spelling of 224768752 in words is "two hundred twenty-four million, seven hundred sixty-eight thousand, seven hundred fifty-two".