218422032 has 80 divisors (see below), whose sum is σ = 585914880. Its totient is φ = 70041600.

The previous prime is 218422027. The next prime is 218422037. The reversal of 218422032 is 230224812.

It is an interprime number because it is at equal distance from previous prime (218422027) and next prime (218422037).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 218421993 and 218422011.

It is not an unprimeable number, because it can be changed into a prime (218422037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 340432 + ... + 341072.

It is an arithmetic number, because the mean of its divisors is an integer number (7323936).

Almost surely, 2^218422032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218422032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292957440).

218422032 is an abundant number, since it is smaller than the sum of its proper divisors (367492848).

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

218422032 is a wasteful number, since it uses less digits than its factorization.

218422032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 218422032 is about 14779.1079568423. The cubic root of 218422032 is about 602.2342917950.

Adding to 218422032 its reverse (230224812), we get a palindrome (448646844).

The spelling of 218422032 in words is "two hundred eighteen million, four hundred twenty-two thousand, thirty-two".