238083300 has 720 divisors, whose sum is σ = 1058682240. Its totient is φ = 44789760.

The previous prime is 238083257. The next prime is 238083311. The reversal of 238083300 is 3380832.

238083300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 12530691 + ... + 12530709.

It is an arithmetic number, because the mean of its divisors is an integer number (1470392).

Almost surely, 2^238083300 is an apocalyptic number.

238083300 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 238083300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529341120).

238083300 is an abundant number, since it is smaller than the sum of its proper divisors (820598940).

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

238083300 is a wasteful number, since it uses less digits than its factorization.

238083300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 238083300 is about 15429.9481528617. The cubic root of 238083300 is about 619.7877351758.

238083300 divided by its sum of digits (27) gives a triangular number (8817900 = T₄₁₉₉).

The spelling of 238083300 in words is "two hundred thirty-eight million, eighty-three thousand, three hundred".