228241 has 8 divisors (see below), whose sum is σ = 249704. Its totient is φ = 207360.

The previous prime is 228233. The next prime is 228251. The reversal of 228241 is 142822.

228241 = 48³ + 49³.

It can be written as a sum of positive squares in 4 ways, for example, as 6400 + 221841 = 80^2 + 471^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 3-Lehmer number, since φ(228241) divides (228241-1)³.

It is a cyclic number.

It is not a de Polignac number, because 228241 - 2³ = 228233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (228211) by changing a digit.

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, 1171 + ... + 1351.

It is an arithmetic number, because the mean of its divisors is an integer number (31213).

It is a Poulet number, since it divides 2²²⁸²⁴⁰-1.

2²²⁸²⁴¹ is an apocalyptic number.

It is an amenable number.

228241 is a deficient number, since it is larger than the sum of its proper divisors (21463).

228241 is a wasteful number, since it uses less digits than its factorization.

228241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291.

The product of its digits is 256, while the sum is 19.

The square root of 228241 is about 477.7457482804. The cubic root of 228241 is about 61.1126646682.

The spelling of 228241 in words is "two hundred twenty-eight thousand, two hundred forty-one".