218141424 has 100 divisors (see below), whose sum is σ = 634669200. Its totient is φ = 72334080.

The previous prime is 218141383. The next prime is 218141431. The reversal of 218141424 is 424141812.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 363877 + ... + 364475.

It is an arithmetic number, because the mean of its divisors is an integer number (6346692).

Almost surely, 2^218141424 is an apocalyptic number.

218141424 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 218141424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317334600).

218141424 is an abundant number, since it is smaller than the sum of its proper divisors (416527776).

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

218141424 is a wasteful number, since it uses less digits than its factorization.

218141424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 885 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 218141424 is about 14769.6115047079. The cubic root of 218141424 is about 601.9762833598.

The spelling of 218141424 in words is "two hundred eighteen million, one hundred forty-one thousand, four hundred twenty-four".