238266016 has 96 divisors (see below), whose sum is σ = 525813120. Its totient is φ = 105701376.

The previous prime is 238266011. The next prime is 238266103. The reversal of 238266016 is 610662832.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (238266011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1714075 + ... + 1714213.

It is an arithmetic number, because the mean of its divisors is an integer number (5477220).

Almost surely, 2^238266016 is an apocalyptic number.

238266016 is the 9763-rd centered pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238266016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262906560).

238266016 is an abundant number, since it is smaller than the sum of its proper divisors (287547104).

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

238266016 is a wasteful number, since it uses less digits than its factorization.

238266016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 238266016 is about 15435.8678408439. The cubic root of 238266016 is about 619.9462457732.

The spelling of 238266016 in words is "two hundred thirty-eight million, two hundred sixty-six thousand, sixteen".