223228824 has 128 divisors (see below), whose sum is σ = 703127040. Its totient is φ = 57480192.

The previous prime is 223228813. The next prime is 223228903. The reversal of 223228824 is 428822322.

223228824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×223228824³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92724 + ... + 95100.

It is an arithmetic number, because the mean of its divisors is an integer number (5493180).

Almost surely, 2^223228824 is an apocalyptic number.

223228824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223228824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351563520).

223228824 is an abundant number, since it is smaller than the sum of its proper divisors (479898216).

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

223228824 is a wasteful number, since it uses less digits than its factorization.

223228824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2449 (or 2445 counting only the distinct ones).

The product of its digits is 24576, while the sum is 33.

The square root of 223228824 is about 14940.8441528583. The cubic root of 223228824 is about 606.6200452574.

The spelling of 223228824 in words is "two hundred twenty-three million, two hundred twenty-eight thousand, eight hundred twenty-four".