238996224 has 144 divisors (see below), whose sum is σ = 718179840. Its totient is φ = 78382080.

The previous prime is 238996211. The next prime is 238996237. The reversal of 238996224 is 422699832.

238996224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (238996211) and next prime (238996237).

It is a tau number, because it is divible by the number of its divisors (144).

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 238996224.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 490509 + ... + 490995.

It is an arithmetic number, because the mean of its divisors is an integer number (4987360).

Almost surely, 2^238996224 is an apocalyptic number.

238996224 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 238996224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359089920).

238996224 is an abundant number, since it is smaller than the sum of its proper divisors (479183616).

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

238996224 is an equidigital number, since it uses as much as digits as its factorization.

238996224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 563 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 238996224 is about 15459.5027086902. The cubic root of 238996224 is about 620.5789112460.

The spelling of 238996224 in words is "two hundred thirty-eight million, nine hundred ninety-six thousand, two hundred twenty-four".