218777130 has 192 divisors, whose sum is σ = 679311360. Its totient is φ = 48153600.

The previous prime is 218777129. The next prime is 218777159. The reversal of 218777130 is 31777812.

It is a happy number.

It is a super-2 number, since 2×218777130² = 95726865222073800, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1145335 + ... + 1145525.

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

Almost surely, 2^218777130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218777130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339655680).

218777130 is an abundant number, since it is smaller than the sum of its proper divisors (460534230).

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

218777130 is a wasteful number, since it uses less digits than its factorization.

218777130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

The square root of 218777130 is about 14791.1165907108. The cubic root of 218777130 is about 602.5604744082.

The spelling of 218777130 in words is "two hundred eighteen million, seven hundred seventy-seven thousand, one hundred thirty".