218729070 has 192 divisors, whose sum is σ = 679311360. Its totient is φ = 47798784.

The previous prime is 218729053. The next prime is 218729113. The reversal of 218729070 is 70927812.

218729070 is a nontrivial binomial coefficient, being equal to C(20916, 2).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2457586 + ... + 2457674.

It is an arithmetic number, because the mean of its divisors is an integer number (3538080).

Almost surely, 2^218729070 is an apocalyptic number.

218729070 is the 20915-th triangular number and also the 10458-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218729070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339655680).

218729070 is an abundant number, since it is smaller than the sum of its proper divisors (460582290).

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

218729070 is a wasteful number, since it uses less digits than its factorization.

218729070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 218729070 is about 14789.4918776813. The cubic root of 218729070 is about 602.5163485632.

The spelling of 218729070 in words is "two hundred eighteen million, seven hundred twenty-nine thousand, seventy".