216553830 has 64 divisors (see below), whose sum is σ = 550368000. Its totient is φ = 54380160.

The previous prime is 216553829. The next prime is 216553853. The reversal of 216553830 is 38355612.

216553830 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×216553830² = 93791122575337800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 216553791 and 216553800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102121 + ... + 104219.

It is an arithmetic number, because the mean of its divisors is an integer number (8599500).

Almost surely, 2^216553830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216553830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275184000).

216553830 is an abundant number, since it is smaller than the sum of its proper divisors (333814170).

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

216553830 is a wasteful number, since it uses less digits than its factorization.

216553830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2309.

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 216553830 is about 14715.7680737364. The cubic root of 216553830 is about 600.5123678962.

The spelling of 216553830 in words is "two hundred sixteen million, five hundred fifty-three thousand, eight hundred thirty".