228126627 has 24 divisors (see below), whose sum is σ = 349689600. Its totient is φ = 142998768.

The previous prime is 228126593. The next prime is 228126629. The reversal of 228126627 is 726621822.

228126627 is a `hidden beast` number, since 2 + 2 + 8 + 1 + 26 + 627 = 666.

It is not a de Polignac number, because 228126627 - 2¹⁰ = 228125603 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 228126591 and 228126600.

It is not an unprimeable number, because it can be changed into a prime (228126629) 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 23 ways as a sum of consecutive naturals, for example, 2874 + ... + 21552.

It is an arithmetic number, because the mean of its divisors is an integer number (14570400).

Almost surely, 2^228126627 is an apocalyptic number.

228126627 is a deficient number, since it is larger than the sum of its proper divisors (121562973).

228126627 is a wasteful number, since it uses less digits than its factorization.

228126627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18767 (or 18764 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 228126627 is about 15103.8613274884. The cubic root of 228126627 is about 611.0245498246.

The spelling of 228126627 in words is "two hundred twenty-eight million, one hundred twenty-six thousand, six hundred twenty-seven".