216905130 has 96 divisors (see below), whose sum is σ = 616621824. Its totient is φ = 52576128.

The previous prime is 216905089. The next prime is 216905131. The reversal of 216905130 is 31509612.

It is a junction number, because it is equal to n+sod(n) for n = 216905094 and 216905103.

It is not an unprimeable number, because it can be changed into a prime (216905131) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 77007 + ... + 79773.

It is an arithmetic number, because the mean of its divisors is an integer number (6423144).

Almost surely, 2^216905130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216905130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308310912).

216905130 is an abundant number, since it is smaller than the sum of its proper divisors (399716694).

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

216905130 is a wasteful number, since it uses less digits than its factorization.

216905130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2860 (or 2857 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 216905130 is about 14727.6994130108. The cubic root of 216905130 is about 600.8369154115.

The spelling of 216905130 in words is "two hundred sixteen million, nine hundred five thousand, one hundred thirty".