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2112266208 = 253134141281
BaseRepresentation
bin111110111100110…
…1001111111100000
312110012121020111210
41331321221333200
513311220004313
6545333110120
7103225652343
oct17571517740
95405536453
102112266208
11994356958
124ab488340
132787c4080
1416076045a
15c568b9c3
hex7de69fe0

2112266208 has 96 divisors (see below), whose sum is σ = 6117001632. Its totient is φ = 634060800.

The previous prime is 2112266207. The next prime is 2112266231. The reversal of 2112266208 is 8026622112.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112266207) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30528 + ... + 71808.

It is an arithmetic number, because the mean of its divisors is an integer number (63718767).

Almost surely, 22112266208 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 2112266208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3058500816).

2112266208 is an abundant number, since it is smaller than the sum of its proper divisors (4004735424).

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

2112266208 is a wasteful number, since it uses less digits than its factorization.

2112266208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41348 (or 41340 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 2112266208 is about 45959.3973850833. The cubic root of 2112266208 is about 1283.0676357500.

The spelling of 2112266208 in words is "two billion, one hundred twelve million, two hundred sixty-six thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 41 48 52 78 82 96 104 123 156 164 208 246 312 328 416 492 533 624 656 984 1066 1248 1312 1599 1968 2132 3198 3936 4264 6396 8528 12792 17056 25584 41281 51168 82562 123843 165124 247686 330248 495372 536653 660496 990744 1073306 1320992 1609959 1692521 1981488 2146612 3219918 3385042 3962976 4293224 5077563 6439836 6770084 8586448 10155126 12879672 13540168 17172896 20310252 22002773 25759344 27080336 40620504 44005546 51518688 54160672 66008319 81241008 88011092 132016638 162482016 176022184 264033276 352044368 528066552 704088736 1056133104 2112266208