228763641 has 32 divisors (see below), whose sum is σ = 320221440. Its totient is φ = 145152000.

The previous prime is 228763607. The next prime is 228763643. The reversal of 228763641 is 146367822.

It is a happy number.

It is not a de Polignac number, because 228763641 - 2¹⁰ = 228762617 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 228763641.

It is not an unprimeable number, because it can be changed into a prime (228763643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1514916 + ... + 1515066.

It is an arithmetic number, because the mean of its divisors is an integer number (10006920).

Almost surely, 2^228763641 is an apocalyptic number.

It is an amenable number.

228763641 is a deficient number, since it is larger than the sum of its proper divisors (91457799).

228763641 is a wasteful number, since it uses less digits than its factorization.

228763641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417.

The product of its digits is 96768, while the sum is 39.

The square root of 228763641 is about 15124.9344130809. The cubic root of 228763641 is about 611.5927568568.

The spelling of 228763641 in words is "two hundred twenty-eight million, seven hundred sixty-three thousand, six hundred forty-one".