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2212851168 = 2532115911839
BaseRepresentation
bin1000001111100101…
…0110110111100000
312201012212111010200
42003321112313200
514012442214133
61003325025200
7105556632063
oct20371266740
95635774120
102212851168
11a36107920
125190b5200
132935b0bb8
1416dc648da
15ce409913
hex83e56de0

2212851168 has 144 divisors (see below), whose sum is σ = 6981811200. Its totient is φ = 659139840.

The previous prime is 2212851097. The next prime is 2212851187. The reversal of 2212851168 is 8611582122.

2212851168 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180993 + ... + 192831.

It is an arithmetic number, because the mean of its divisors is an integer number (48484800).

Almost surely, 22212851168 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 2212851168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3490905600).

2212851168 is an abundant number, since it is smaller than the sum of its proper divisors (4768960032).

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

2212851168 is a wasteful number, since it uses less digits than its factorization.

2212851168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11925 (or 11914 counting only the distinct ones).

The product of its digits is 15360, while the sum is 36.

The square root of 2212851168 is about 47040.9520311824. The cubic root of 2212851168 is about 1303.1189740556.

The spelling of 2212851168 in words is "two billion, two hundred twelve million, eight hundred fifty-one thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 59 66 72 88 96 99 118 132 144 176 177 198 236 264 288 352 354 396 472 528 531 649 708 792 944 1056 1062 1298 1416 1584 1888 1947 2124 2596 2832 3168 3894 4248 5192 5664 5841 7788 8496 10384 11682 11839 15576 16992 20768 23364 23678 31152 35517 46728 47356 62304 71034 93456 94712 106551 130229 142068 186912 189424 213102 260458 284136 378848 390687 426204 520916 568272 698501 781374 852408 1041832 1136544 1172061 1397002 1562748 1704816 2083664 2095503 2344122 2794004 3125496 3409632 4167328 4191006 4688244 5588008 6250992 6286509 7683511 8382012 9376488 11176016 12501984 12573018 15367022 16764024 18752976 22352032 23050533 25146036 30734044 33528048 37505952 46101066 50292072 61468088 67056096 69151599 92202132 100584144 122936176 138303198 184404264 201168288 245872352 276606396 368808528 553212792 737617056 1106425584 2212851168