218226000 has 160 divisors (see below), whose sum is σ = 723310848. Its totient is φ = 56563200.

The previous prime is 218225999. The next prime is 218226011. The reversal of 218226000 is 622812.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 221509 + ... + 222491.

Almost surely, 2^218226000 is an apocalyptic number.

218226000 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 218226000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361655424).

218226000 is an abundant number, since it is smaller than the sum of its proper divisors (505084848).

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

218226000 is a wasteful number, since it uses less digits than its factorization.

218226000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 218226000 is about 14772.4744034302. The cubic root of 218226000 is about 602.0540710732.

Adding to 218226000 its reverse (622812), we get a palindrome (218848812).

It can be divided in two parts, 2182 and 26000, that added together give a palindrome (28182).

The spelling of 218226000 in words is "two hundred eighteen million, two hundred twenty-six thousand".