218313000 has 192 divisors, whose sum is σ = 747601920. Its totient is φ = 57456000.

The previous prime is 218312977. The next prime is 218313041. The reversal of 218313000 is 313812.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 6.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1142905 + ... + 1143095.

It is an arithmetic number, because the mean of its divisors is an integer number (3893760).

Almost surely, 2^218313000 is an apocalyptic number.

218313000 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 218313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373800960).

218313000 is an abundant number, since it is smaller than the sum of its proper divisors (529288920).

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

218313000 is a wasteful number, since it uses less digits than its factorization.

218313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 218313000 is about 14775.4187757911. The cubic root of 218313000 is about 602.1340672624.

Adding to 218313000 its reverse (313812), we get a palindrome (218626812).

The spelling of 218313000 in words is "two hundred eighteen million, three hundred thirteen thousand".