224943876 has 72 divisors (see below), whose sum is σ = 585729144. Its totient is φ = 72744960.

The previous prime is 224943871. The next prime is 224943877. The reversal of 224943876 is 678349422.

It can be written as a sum of positive squares in 4 ways, for example, as 51494976 + 173448900 = 7176^2 + 13170^2 .

Its product of digits (580608) is a multiple of the sum of its prime divisors (896).

It is not an unprimeable number, because it can be changed into a prime (224943871) 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 23 ways as a sum of consecutive naturals, for example, 379036 + ... + 379628.

It is an arithmetic number, because the mean of its divisors is an integer number (8135127).

Almost surely, 2^224943876 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 224943876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292864572).

224943876 is an abundant number, since it is smaller than the sum of its proper divisors (360785268).

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

224943876 is a wasteful number, since it uses less digits than its factorization.

224943876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 896 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 224943876 is about 14998.1290833224. The cubic root of 224943876 is about 608.1696238697.

The spelling of 224943876 in words is "two hundred twenty-four million, nine hundred forty-three thousand, eight hundred seventy-six".