216802700 has 72 divisors (see below), whose sum is σ = 505248912. Its totient is φ = 80455680.

The previous prime is 216802699. The next prime is 216802709. The reversal of 216802700 is 7208612.

It is a self number, because there is not a number n which added to its sum of digits gives 216802700.

It is not an unprimeable number, because it can be changed into a prime (216802709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123227 + ... + 124973.

It is an arithmetic number, because the mean of its divisors is an integer number (7017346).

Almost surely, 2^216802700 is an apocalyptic number.

216802700 is a gapful number since it is divisible by the number (20) 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 216802700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252624456).

216802700 is an abundant number, since it is smaller than the sum of its proper divisors (288446212).

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

216802700 is a wasteful number, since it uses less digits than its factorization.

216802700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1851 (or 1844 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 216802700 is about 14724.2215413923. The cubic root of 216802700 is about 600.7423219588.

The spelling of 216802700 in words is "two hundred sixteen million, eight hundred two thousand, seven hundred".