238160000 has 160 divisors (see below), whose sum is σ = 641279100. Its totient is φ = 87552000.

The previous prime is 238159991. The next prime is 238160017. The reversal of 238160000 is 61832.

238160000 is digitally balanced in base 3, 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 10 ways, for example, as 11235904 + 226924096 = 3352^2 + 15064^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1039886 + ... + 1040114.

Almost surely, 2^238160000 is an apocalyptic number.

238160000 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 238160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320639550).

238160000 is an abundant number, since it is smaller than the sum of its proper divisors (403119100).

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

238160000 is an equidigital number, since it uses as much as digits as its factorization.

238160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 238160000 is about 15432.4333790883. The cubic root of 238160000 is about 619.8542841741.

The spelling of 238160000 in words is "two hundred thirty-eight million, one hundred sixty thousand".