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2112293780 = 2252313135053
BaseRepresentation
bin111110111100111…
…0000101110010100
312110012122122022222
41331321300232110
513311221400110
6545333441512
7103226125622
oct17571605624
95405578288
102112293780
11994375643
124ab4a0298
1327880379c
1416076a512
15c5694c55
hex7de70b94

2112293780 has 48 divisors (see below), whose sum is σ = 4664145024. Its totient is φ = 801989760.

The previous prime is 2112293761. The next prime is 2112293789. The reversal of 2112293780 is 873922112.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2112293780.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112293789) 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, 42734 + ... + 77786.

It is an arithmetic number, because the mean of its divisors is an integer number (97169688).

Almost surely, 22112293780 is an apocalyptic number.

2112293780 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112293780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2332072512).

2112293780 is an abundant number, since it is smaller than the sum of its proper divisors (2551851244).

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

2112293780 is a wasteful number, since it uses less digits than its factorization.

2112293780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35216 (or 35214 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 2112293780 is about 45959.6973445213. The cubic root of 2112293780 is about 1283.0732184723.

The spelling of 2112293780 in words is "two billion, one hundred twelve million, two hundred ninety-three thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 20 23 46 92 115 131 230 262 460 524 655 1310 2620 3013 6026 12052 15065 30130 35053 60260 70106 140212 175265 350530 701060 806219 1612438 3224876 4031095 4591943 8062190 9183886 16124380 18367772 22959715 45919430 91838860 105614689 211229378 422458756 528073445 1056146890 2112293780