218382372 has 96 divisors (see below), whose sum is σ = 615753600. Its totient is φ = 66531456.

The previous prime is 218382361. The next prime is 218382389. The reversal of 218382372 is 273283812.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152323 + ... + 153749.

It is an arithmetic number, because the mean of its divisors is an integer number (6414100).

Almost surely, 2^218382372 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 218382372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307876800).

218382372 is an abundant number, since it is smaller than the sum of its proper divisors (397371228).

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

218382372 is a wasteful number, since it uses less digits than its factorization.

218382372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1562 (or 1554 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 218382372 is about 14777.7661370046. The cubic root of 218382372 is about 602.1978393402.

The spelling of 218382372 in words is "two hundred eighteen million, three hundred eighty-two thousand, three hundred seventy-two".