238248192 has 216 divisors, whose sum is σ = 795982656. Its totient is φ = 62705664.

The previous prime is 238248119. The next prime is 238248203. The reversal of 238248192 is 291842832.

238248192 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

Its product of digits (55296) is a multiple of the sum of its prime divisors (512).

It is a self number, because there is not a number n which added to its sum of digits gives 238248192.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 488973 + ... + 489459.

Almost surely, 2^238248192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238248192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397991328).

238248192 is an abundant number, since it is smaller than the sum of its proper divisors (557734464).

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

238248192 is a wasteful number, since it uses less digits than its factorization.

238248192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 512 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 238248192 is about 15435.2904734572. The cubic root of 238248192 is about 619.9307865852.

The spelling of 238248192 in words is "two hundred thirty-eight million, two hundred forty-eight thousand, one hundred ninety-two".