218240000 has 220 divisors, whose sum is σ = 613903488. Its totient is φ = 76800000.

The previous prime is 218239937. The next prime is 218240003. The reversal of 218240000 is 42812.

It is a tau number, because it is divible by the number of its divisors (220).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218240003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7039985 + ... + 7040015.

Almost surely, 2^218240000 is an apocalyptic number.

218240000 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 218240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306951744).

218240000 is an abundant number, since it is smaller than the sum of its proper divisors (395663488).

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

218240000 is an equidigital number, since it uses as much as digits as its factorization.

218240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 218240000 is about 14772.9482500955. The cubic root of 218240000 is about 602.0669454584.

Adding to 218240000 its reverse (42812), we get a palindrome (218282812).

The spelling of 218240000 in words is "two hundred eighteen million, two hundred forty thousand".