238078100 has 72 divisors (see below), whose sum is σ = 569442720. Its totient is φ = 85841280.

The previous prime is 238078079. The next prime is 238078117. The reversal of 238078100 is 1870832.

It is a super-2 number, since 2×238078100² = 113362363399220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53771 + ... + 58029.

Almost surely, 2^238078100 is an apocalyptic number.

238078100 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 238078100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284721360).

238078100 is an abundant number, since it is smaller than the sum of its proper divisors (331364620).

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

238078100 is a wasteful number, since it uses less digits than its factorization.

238078100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4329 (or 4322 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 238078100 is about 15429.7796484590. The cubic root of 238078100 is about 619.7832228620.

The spelling of 238078100 in words is "two hundred thirty-eight million, seventy-eight thousand, one hundred".