218226384 has 30 divisors (see below), whose sum is σ = 610731186. Its totient is φ = 72742080.

The previous prime is 218226377. The next prime is 218226413. The reversal of 218226384 is 483622812.

218226384 is a `hidden beast` number, since 2 + 18 + 2 + 2 + 638 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 218211984 + 14400 = 14772^2 + 120^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 757587 + ... + 757874.

Almost surely, 2^218226384 is an apocalyptic number.

218226384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

218226384 is an abundant number, since it is smaller than the sum of its proper divisors (392504802).

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

218226384 is a wasteful number, since it uses less digits than its factorization.

218226384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1515475 (or 1515466 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 218226384 is about 14772.4874005700. The cubic root of 218226384 is about 602.0544242066.

The spelling of 218226384 in words is "two hundred eighteen million, two hundred twenty-six thousand, three hundred eighty-four".