224169984 has 104 divisors (see below), whose sum is σ = 664453920. Its totient is φ = 74686464.

The previous prime is 224169977. The next prime is 224169997. The reversal of 224169984 is 489961422.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109579 + ... + 111605.

It is an arithmetic number, because the mean of its divisors is an integer number (6388980).

Almost surely, 2^224169984 is an apocalyptic number.

224169984 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 224169984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332226960).

224169984 is an abundant number, since it is smaller than the sum of its proper divisors (440283936).

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

224169984 is an equidigital number, since it uses as much as digits as its factorization.

224169984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2060 (or 2032 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 224169984 is about 14972.3072370293. The cubic root of 224169984 is about 607.4713780144.

It can be divided in two parts, 22416 and 9984, that added together give a square (32400 = 180²).

The spelling of 224169984 in words is "two hundred twenty-four million, one hundred sixty-nine thousand, nine hundred eighty-four".