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2171200016 = 241713957427
BaseRepresentation
bin1000000101101001…
…1110001000010000
312121022111101111102
42001122132020100
513421311400031
6555240203532
7104542616126
oct20132361020
95538441442
102171200016
11a14649787
125071695a8
13287a8994b
14168501916
15ca92d7cb
hex8169e210

2171200016 has 40 divisors (see below), whose sum is σ = 4486275360. Its totient is φ = 1014372864.

The previous prime is 2171200007. The next prime is 2171200019. The reversal of 2171200016 is 6100021712.

It is not an unprimeable number, because it can be changed into a prime (2171200019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9095 + ... + 66521.

It is an arithmetic number, because the mean of its divisors is an integer number (112156884).

Almost surely, 22171200016 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 2171200016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2243137680).

2171200016 is an abundant number, since it is smaller than the sum of its proper divisors (2315075344).

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

2171200016 is a wasteful number, since it uses less digits than its factorization.

2171200016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57591 (or 57585 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 20.

The square root of 2171200016 is about 46596.1373506431. The cubic root of 2171200016 is about 1294.8911952234.

Adding to 2171200016 its reverse (6100021712), we get a palindrome (8271221728).

The spelling of 2171200016 in words is "two billion, one hundred seventy-one million, two hundred thousand, sixteen".

Divisors: 1 2 4 8 16 17 34 68 136 139 272 278 556 1112 2224 2363 4726 9452 18904 37808 57427 114854 229708 459416 918832 976259 1952518 3905036 7810072 7982353 15620144 15964706 31929412 63858824 127717648 135700001 271400002 542800004 1085600008 2171200016