238132224 has 308 divisors, whose sum is σ = 805453560. Its totient is φ = 69672960.

The previous prime is 238132211. The next prime is 238132231. The reversal of 238132224 is 422231832.

It is a super-2 number, since 2×238132224² = 113413912214372352, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 8211442 + ... + 8211470.

Almost surely, 2^238132224 is an apocalyptic number.

238132224 is a gapful number since it is divisible by the number (24) 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 238132224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402726780).

238132224 is an abundant number, since it is smaller than the sum of its proper divisors (567321336).

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

238132224 is an equidigital number, since it uses as much as digits as its factorization.

238132224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 45 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 238132224 is about 15431.5334299609. The cubic root of 238132224 is about 619.8301858900.

The spelling of 238132224 in words is "two hundred thirty-eight million, one hundred thirty-two thousand, two hundred twenty-four".