218826144 has 96 divisors (see below), whose sum is σ = 641571840. Its totient is φ = 72562176.

The previous prime is 218826121. The next prime is 218826151. The reversal of 218826144 is 441628812.

It is a tau number, because it is divible by the number of its divisors (96).

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 junction number, because it is equal to n+sod(n) for n = 218826099 and 218826108.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200769 + ... + 201855.

It is an arithmetic number, because the mean of its divisors is an integer number (6683040).

Almost surely, 2^218826144 is an apocalyptic number.

218826144 is a gapful number since it is divisible by the number (24) 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 218826144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320785920).

218826144 is an abundant number, since it is smaller than the sum of its proper divisors (422745696).

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

218826144 is a wasteful number, since it uses less digits than its factorization.

218826144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339 (or 1325 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 218826144 is about 14792.7733708051. The cubic root of 218826144 is about 602.6054695041.

The spelling of 218826144 in words is "two hundred eighteen million, eight hundred twenty-six thousand, one hundred forty-four".