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2146410216 = 233229811253
BaseRepresentation
bin111111111101111…
…1001111011101000
312112120211221021200
41333323321323220
513343440111331
6552553004200
7104122120506
oct17773717350
95476757250
102146410216
11a01657845
124ba9b3660
132828ba322
141650cb676
15c86835e6
hex7fef9ee8

2146410216 has 24 divisors (see below), whose sum is σ = 5813194530. Its totient is φ = 715470048.

The previous prime is 2146410199. The next prime is 2146410269. The reversal of 2146410216 is 6120146412.

2146410216 is a `hidden beast` number, since 2 + 1 + 4 + 641 + 0 + 2 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1285222500 + 861187716 = 35850^2 + 29346^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2146410216.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14905555 + ... + 14905698.

Almost surely, 22146410216 is an apocalyptic number.

It is an amenable number.

2146410216 is an abundant number, since it is smaller than the sum of its proper divisors (3666784314).

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

2146410216 is a wasteful number, since it uses less digits than its factorization.

2146410216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29811265 (or 29811258 counting only the distinct ones).

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

The square root of 2146410216 is about 46329.3666695326. The cubic root of 2146410216 is about 1289.9441547845.

Adding to 2146410216 its reverse (6120146412), we get a palindrome (8266556628).

The spelling of 2146410216 in words is "two billion, one hundred forty-six million, four hundred ten thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 29811253 59622506 89433759 119245012 178867518 238490024 268301277 357735036 536602554 715470072 1073205108 2146410216