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2164212216 = 233310019501
BaseRepresentation
bin1000000011111111…
…0100000111111000
312120211100101001000
42000333310013320
513413014242331
6554430325000
7104426333415
oct20077640770
95524311030
102164212216
11a10706741
12504959760
132864b115a
1416760310c
15c9eed0e6
hex80ff41f8

2164212216 has 32 divisors (see below), whose sum is σ = 6011701200. Its totient is φ = 721404000.

The previous prime is 2164212173. The next prime is 2164212221. The reversal of 2164212216 is 6122124612.

2164212216 is a `hidden beast` number, since 2 + 1 + 642 + 1 + 2 + 2 + 16 = 666.

2164212216 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 (27).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2164212216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5009535 + ... + 5009966.

Almost surely, 22164212216 is an apocalyptic number.

It is an amenable number.

2164212216 is an abundant number, since it is smaller than the sum of its proper divisors (3847488984).

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

2164212216 is a wasteful number, since it uses less digits than its factorization.

2164212216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10019516 (or 10019506 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 2164212216 is about 46521.0943121505. The cubic root of 2164212216 is about 1293.5005410227.

Adding to 2164212216 its reverse (6122124612), we get a palindrome (8286336828).

The spelling of 2164212216 in words is "two billion, one hundred sixty-four million, two hundred twelve thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 10019501 20039002 30058503 40078004 60117006 80156008 90175509 120234012 180351018 240468024 270526527 360702036 541053054 721404072 1082106108 2164212216