224838208 has 56 divisors (see below), whose sum is σ = 515721600. Its totient is φ = 95259648.

The previous prime is 224838193. The next prime is 224838217. The reversal of 224838208 is 802838422.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37053 + ... + 42691.

Almost surely, 2^224838208 is an apocalyptic number.

224838208 is a gapful number since it is divisible by the number (28) 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 224838208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257860800).

224838208 is an abundant number, since it is smaller than the sum of its proper divisors (290883392).

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

224838208 is an equidigital number, since it uses as much as digits as its factorization.

224838208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5747 (or 5737 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 37.

The square root of 224838208 is about 14994.6059634790. The cubic root of 224838208 is about 608.0743791738.

The spelling of 224838208 in words is "two hundred twenty-four million, eight hundred thirty-eight thousand, two hundred eight".