238263200 has 144 divisors (see below), whose sum is σ = 671457024. Its totient is φ = 80870400.

The previous prime is 238263191. The next prime is 238263247. The reversal of 238263200 is 2362832.

It is a happy number.

238263200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 238263200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 879065 + ... + 879335.

It is an arithmetic number, because the mean of its divisors is an integer number (4662896).

Almost surely, 2^238263200 is an apocalyptic number.

238263200 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 238263200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335728512).

238263200 is an abundant number, since it is smaller than the sum of its proper divisors (433193824).

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

238263200 is a wasteful number, since it uses less digits than its factorization.

238263200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 238263200 is about 15435.7766244527. The cubic root of 238263200 is about 619.9438034393.

The spelling of 238263200 in words is "two hundred thirty-eight million, two hundred sixty-three thousand, two hundred".