216347292 has 144 divisors (see below), whose sum is σ = 659043840. Its totient is φ = 58506624.

The previous prime is 216347273. The next prime is 216347293. The reversal of 216347292 is 292743612.

216347292 is a `hidden beast` number, since 21 + 6 + 347 + 292 = 666.

216347292 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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

Its product of digits (36288) is a multiple of the sum of its prime factors (432).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216347293) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 944634 + ... + 944862.

Almost surely, 2^216347292 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 216347292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329521920).

216347292 is an abundant number, since it is smaller than the sum of its proper divisors (442696548).

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

216347292 is a wasteful number, since it uses less digits than its factorization.

216347292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 427 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 216347292 is about 14708.7488251041. The cubic root of 216347292 is about 600.3213944786.

It can be divided in two parts, 2163 and 47292, that added together give a triangular number (49455 = T₃₁₄).

The spelling of 216347292 in words is "two hundred sixteen million, three hundred forty-seven thousand, two hundred ninety-two".