238188240 has 120 divisors (see below), whose sum is σ = 821626728. Its totient is φ = 61793280.

The previous prime is 238188227. The next prime is 238188257. The reversal of 238188240 is 42881832.

It is a happy number.

238188240 is a `hidden beast` number, since 238 + 188 + 240 = 666.

238188240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 82737216 + 155451024 = 9096^2 + 12468^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 238188195 and 238188204.

It is a congruent number.

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, 22170 + ... + 31110.

Almost surely, 2^238188240 is an apocalyptic number.

238188240 is a gapful number since it is divisible by the number (20) 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 238188240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410813364).

238188240 is an abundant number, since it is smaller than the sum of its proper divisors (583438488).

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

238188240 is a wasteful number, since it uses less digits than its factorization.

238188240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8997 (or 8988 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 238188240 is about 15433.3483081281. The cubic root of 238188240 is about 619.8787831008.

The spelling of 238188240 in words is "two hundred thirty-eight million, one hundred eighty-eight thousand, two hundred forty".