228358144 has 96 divisors (see below), whose sum is σ = 553119840. Its totient is φ = 92012544.

The previous prime is 228358139. The next prime is 228358153. The reversal of 228358144 is 441853822.

It is a happy number.

It is a super-2 number, since 2×228358144² = 104294883862249472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 243244 + ... + 244180.

It is an arithmetic number, because the mean of its divisors is an integer number (5761665).

Almost surely, 2^228358144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228358144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276559920).

228358144 is an abundant number, since it is smaller than the sum of its proper divisors (324761696).

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

228358144 is an equidigital number, since it uses as much as digits as its factorization.

228358144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 963 counting only the distinct ones).

The product of its digits is 61440, while the sum is 37.

The square root of 228358144 is about 15111.5235499271. The cubic root of 228358144 is about 611.2311817649.

The spelling of 228358144 in words is "two hundred twenty-eight million, three hundred fifty-eight thousand, one hundred forty-four".