218229193 has 54 divisors (see below), whose sum is σ = 294091614. Its totient is φ = 161336448.

The previous prime is 218229191. The next prime is 218229199. The reversal of 218229193 is 391922812.

It can be written as a sum of positive squares in 3 ways, for example, as 283024 + 217946169 = 532^2 + 14763^2 .

It is not a de Polignac number, because 218229193 - 2¹ = 218229191 is a prime.

It is not an unprimeable number, because it can be changed into a prime (218229191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2989405 + ... + 2989477.

It is an arithmetic number, because the mean of its divisors is an integer number (5446141).

Almost surely, 2^218229193 is an apocalyptic number.

It is an amenable number.

218229193 is a deficient number, since it is larger than the sum of its proper divisors (75862421).

218229193 is a wasteful number, since it uses less digits than its factorization.

218229193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 112 counting only the distinct ones).

The product of its digits is 15552, while the sum is 37.

The square root of 218229193 is about 14772.5824756540. The cubic root of 218229193 is about 602.0570074011.

It can be divided in two parts, 2182 and 29193, that added together give a triangular number (31375 = T₂₅₀).

The spelling of 218229193 in words is "two hundred eighteen million, two hundred twenty-nine thousand, one hundred ninety-three".