238221984 has 384 divisors, whose sum is σ = 875169792. Its totient is φ = 54743040.

The previous prime is 238221983. The next prime is 238222001. The reversal of 238221984 is 489122832.

238221984 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 (39).

It is not an unprimeable number, because it can be changed into a prime (238221983) 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, 3555519 + ... + 3555585.

It is an arithmetic number, because the mean of its divisors is an integer number (2279088).

Almost surely, 2^238221984 is an apocalyptic number.

238221984 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 238221984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437584896).

238221984 is an abundant number, since it is smaller than the sum of its proper divisors (636947808).

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

238221984 is a wasteful number, since it uses less digits than its factorization.

238221984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 140 counting only the distinct ones).

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

The square root of 238221984 is about 15434.4414864938. The cubic root of 238221984 is about 619.9080543499.

It can be divided in two parts, 238 and 221984, that added together give a palindrome (222222).

The spelling of 238221984 in words is "two hundred thirty-eight million, two hundred twenty-one thousand, nine hundred eighty-four".