238672224 has 384 divisors, whose sum is σ = 877363200. Its totient is φ = 61585920.

The previous prime is 238672207. The next prime is 238672229. The reversal of 238672224 is 422276832.

It is a happy number.

238672224 is digitally balanced in base 2, 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 (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238672229) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3562239 + ... + 3562305.

It is an arithmetic number, because the mean of its divisors is an integer number (2284800).

Almost surely, 2^238672224 is an apocalyptic number.

238672224 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 238672224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438681600).

238672224 is an abundant number, since it is smaller than the sum of its proper divisors (638690976).

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

238672224 is a wasteful number, since it uses less digits than its factorization.

238672224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 129 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 238672224 is about 15449.0201631042. The cubic root of 238672224 is about 620.2983510307.

The spelling of 238672224 in words is "two hundred thirty-eight million, six hundred seventy-two thousand, two hundred twenty-four".