238100 has 18 divisors (see below), whose sum is σ = 516894. Its totient is φ = 95200.

The previous prime is 238099. The next prime is 238103. The reversal of 238100 is 1832.

It can be written as a sum of positive squares in 3 ways, for example, as 3844 + 234256 = 62^2 + 484^2 .

It is a super-2 number, since 2×238100² = 113383220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1091 + ... + 1290.

2²³⁸¹⁰⁰ is an apocalyptic number.

238100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

238100 is an abundant number, since it is smaller than the sum of its proper divisors (278794).

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

238100 is a wasteful number, since it uses less digits than its factorization.

238100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2395 (or 2388 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 238100 is about 487.9549159502. The cubic root of 238100 is about 61.9802226201.

Adding to 238100 its reverse (1832), we get a palindrome (239932).

The spelling of 238100 in words is "two hundred thirty-eight thousand, one hundred".