224869824 has 112 divisors (see below), whose sum is σ = 665683200. Its totient is φ = 74435328.

The previous prime is 224869793. The next prime is 224869907. The reversal of 224869824 is 428968422.

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

It is a self number, because there is not a number n which added to its sum of digits gives 224869824.

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, 308949 + ... + 309675.

It is an arithmetic number, because the mean of its divisors is an integer number (5943600).

Almost surely, 2^224869824 is an apocalyptic number.

224869824 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 224869824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332841600).

224869824 is an abundant number, since it is smaller than the sum of its proper divisors (440813376).

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

224869824 is a wasteful number, since it uses less digits than its factorization.

224869824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 911 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 224869824 is about 14995.6601721965. The cubic root of 224869824 is about 608.1028796360.

The spelling of 224869824 in words is "two hundred twenty-four million, eight hundred sixty-nine thousand, eight hundred twenty-four".