238164192 has 192 divisors, whose sum is σ = 809948160. Its totient is φ = 66673152.

The previous prime is 238164187. The next prime is 238164233. The reversal of 238164192 is 291461832.

238164192 is a `hidden beast` number, since 2 + 3 + 8 + 1 + 641 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 320173 + ... + 320915.

It is an arithmetic number, because the mean of its divisors is an integer number (4218480).

Almost surely, 2^238164192 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 238164192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404974080).

238164192 is an abundant number, since it is smaller than the sum of its proper divisors (571783968).

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

238164192 is a wasteful number, since it uses less digits than its factorization.

238164192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 808 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 238164192 is about 15432.5691963458. The cubic root of 238164192 is about 619.8579209643.

The spelling of 238164192 in words is "two hundred thirty-eight million, one hundred sixty-four thousand, one hundred ninety-two".