216164550 has 192 divisors, whose sum is σ = 657100800. Its totient is φ = 45964800.

The previous prime is 216164497. The next prime is 216164551. The reversal of 216164550 is 55461612.

It is a super-2 number, since 2×216164550² = 93454225353405000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216164551) by changing a digit.

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, 943836 + ... + 944064.

It is an arithmetic number, because the mean of its divisors is an integer number (3422400).

Almost surely, 2^216164550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216164550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328550400).

216164550 is an abundant number, since it is smaller than the sum of its proper divisors (440936250).

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

216164550 is a wasteful number, since it uses less digits than its factorization.

216164550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 216164550 is about 14702.5354956212. The cubic root of 216164550 is about 600.1523224376.

The spelling of 216164550 in words is "two hundred sixteen million, one hundred sixty-four thousand, five hundred fifty".