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2112293764 = 2272192919559
BaseRepresentation
bin111110111100111…
…0000101110000100
312110012122122022101
41331321300232010
513311221400024
6545333441444
7103226125600
oct17571605604
95405578271
102112293764
11994375629
124ab4a0284
13278803789
1416076a500
15c5694c44
hex7de70b84

2112293764 has 72 divisors (see below), whose sum is σ = 4682664000. Its totient is φ = 828007488.

The previous prime is 2112293761. The next prime is 2112293789. The reversal of 2112293764 is 4673922112.

It is not an unprimeable number, because it can be changed into a prime (2112293761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98217 + ... + 117775.

It is an arithmetic number, because the mean of its divisors is an integer number (65037000).

Almost surely, 22112293764 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 2112293764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2341332000).

2112293764 is an abundant number, since it is smaller than the sum of its proper divisors (2570370236).

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

2112293764 is a wasteful number, since it uses less digits than its factorization.

2112293764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19625 (or 19616 counting only the distinct ones).

The product of its digits is 36288, while the sum is 37.

The square root of 2112293764 is about 45959.6971704558. The cubic root of 2112293764 is about 1283.0732152326.

The spelling of 2112293764 in words is "two billion, one hundred twelve million, two hundred ninety-three thousand, seven hundred sixty-four".

Divisors: 1 2 4 7 14 19 28 29 38 49 58 76 98 116 133 196 203 266 406 532 551 812 931 1102 1421 1862 2204 2842 3724 3857 5684 7714 15428 19559 26999 39118 53998 78236 107996 136913 273826 371621 547652 567211 743242 958391 1134422 1486484 1916782 2268844 2601347 3833564 3970477 5202694 7940954 10405388 10777009 15881908 18209429 21554018 27793339 36418858 43108036 55586678 72837716 75439063 111173356 150878126 301756252 528073441 1056146882 2112293764