238545216 has 448 divisors, whose sum is σ = 908060160. Its totient is φ = 59719680.

The previous prime is 238545193. The next prime is 238545221. The reversal of 238545216 is 612545832.

238545216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5818156 + ... + 5818196.

It is an arithmetic number, because the mean of its divisors is an integer number (2026920).

Almost surely, 2^238545216 is an apocalyptic number.

238545216 is a gapful number since it is divisible by the number (26) 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 238545216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454030080).

238545216 is an abundant number, since it is smaller than the sum of its proper divisors (669514944).

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

238545216 is a wasteful number, since it uses less digits than its factorization.

238545216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 103 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 238545216 is about 15444.9090641544. The cubic root of 238545216 is about 620.1883021523.

The spelling of 238545216 in words is "two hundred thirty-eight million, five hundred forty-five thousand, two hundred sixteen".