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2162105208 = 2332292713821
BaseRepresentation
bin1000000011011111…
…0001101101111000
312120200101022202200
42000313301231320
513411444331313
6554313230200
7104402406504
oct20067615570
95520338680
102162105208
11a0a4a770a
12504102360
13285c240c3
14167215304
15c9c33b73
hex80df1b78

2162105208 has 96 divisors (see below), whose sum is σ = 6081566400. Its totient is φ = 693100800.

The previous prime is 2162105207. The next prime is 2162105219. The reversal of 2162105208 is 8025012612.

It is a happy number.

2162105208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2162105201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 563938 + ... + 567758.

It is an arithmetic number, because the mean of its divisors is an integer number (63349650).

Almost surely, 22162105208 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 2162105208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3040783200).

2162105208 is an abundant number, since it is smaller than the sum of its proper divisors (3919461192).

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

2162105208 is a wasteful number, since it uses less digits than its factorization.

2162105208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4133 (or 4126 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 2162105208 is about 46498.4430707094. The cubic root of 2162105208 is about 1293.0806344310.

The spelling of 2162105208 in words is "two billion, one hundred sixty-two million, one hundred five thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 271 348 522 542 696 813 1044 1084 1626 2088 2168 2439 3252 3821 4878 6504 7642 7859 9756 11463 15284 15718 19512 22926 23577 30568 31436 34389 45852 47154 62872 68778 70731 91704 94308 110809 137556 141462 188616 221618 275112 282924 332427 443236 565848 664854 886472 997281 1035491 1329708 1994562 2070982 2659416 3106473 3989124 4141964 6212946 7978248 8283928 9319419 12425892 18638838 24851784 30029239 37277676 60058478 74555352 90087717 120116956 180175434 240233912 270263151 360350868 540526302 720701736 1081052604 2162105208