238516100 has 54 divisors (see below), whose sum is σ = 527024862. Its totient is φ = 93696000.

The previous prime is 238516081. The next prime is 238516129. The reversal of 238516100 is 1615832.

It can be written as a sum of positive squares in 9 ways, for example, as 147428164 + 91087936 = 12142^2 + 9544^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 238516100.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 371780 + ... + 372420.

Almost surely, 2^238516100 is an apocalyptic number.

238516100 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 238516100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263512431).

238516100 is an abundant number, since it is smaller than the sum of its proper divisors (288508762).

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

238516100 is a wasteful number, since it uses less digits than its factorization.

238516100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 238516100 is about 15443.9664594300. The cubic root of 238516100 is about 620.1630684494.

The spelling of 238516100 in words is "two hundred thirty-eight million, five hundred sixteen thousand, one hundred".