218030832 has 80 divisors (see below), whose sum is σ = 627816960. Its totient is φ = 72446400.

The previous prime is 218030819. The next prime is 218030851. The reversal of 218030832 is 238030812.

It is a super-2 number, since 2×218030832² = 95074887405224448, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 218030796 and 218030805.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185607 + ... + 186777.

It is an arithmetic number, because the mean of its divisors is an integer number (7847712).

Almost surely, 2^218030832 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 218030832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313908480).

218030832 is an abundant number, since it is smaller than the sum of its proper divisors (409786128).

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

218030832 is a wasteful number, since it uses less digits than its factorization.

218030832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1619 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 218030832 is about 14765.8671265862. The cubic root of 218030832 is about 601.8745374168.

The spelling of 218030832 in words is "two hundred eighteen million, thirty thousand, eight hundred thirty-two".