218000000 has 112 divisors (see below), whose sum is σ = 547844550. Its totient is φ = 86400000.

The previous prime is 217999987. The next prime is 218000009. The reversal of 218000000 is 812.

218000000 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 94167616 + 123832384 = 9704^2 + 11128^2 .

It is not an unprimeable number, because it can be changed into a prime (218000009) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1999946 + ... + 2000054.

Almost surely, 2^218000000 is an apocalyptic number.

218000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273922275).

218000000 is an abundant number, since it is smaller than the sum of its proper divisors (329844550).

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

218000000 is an frugal number, since it uses more digits than its factorization.

218000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 218000000 is about 14764.8230602334. The cubic root of 218000000 is about 601.8461654806.

Adding to 218000000 its reverse (812), we get a palindrome (218000812).

It can be divided in two parts, 2 and 18000000, that multiplied together give a square (36000000 = 6000²).

The spelling of 218000000 in words is "two hundred eighteen million", and thus it is an aban number.