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2205605412 = 223270986413
BaseRepresentation
bin1000001101110110…
…1101111000100100
312200201020100211100
42003131231320210
514004113333122
61002505440100
7105441223323
oct20335557044
95621210740
102205605412
11a32008a9a
125167a0030
13291c44b7a
1416ccda0ba
15cd977aac
hex8376de24

2205605412 has 36 divisors (see below), whose sum is σ = 5583208540. Its totient is φ = 734156352.

The previous prime is 2205605399. The next prime is 2205605419. The reversal of 2205605412 is 2145065022.

2205605412 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 can be written as a sum of positive squares in 2 ways, for example, as 885300516 + 1320304896 = 29754^2 + 36336^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (2205605419) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17683 + ... + 68730.

Almost surely, 22205605412 is an apocalyptic number.

It is an amenable number.

2205605412 is an abundant number, since it is smaller than the sum of its proper divisors (3377603128).

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

2205605412 is a wasteful number, since it uses less digits than its factorization.

2205605412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87132 (or 87127 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2205605412 is about 46963.8734773868. The cubic root of 2205605412 is about 1301.6951086578.

The spelling of 2205605412 in words is "two billion, two hundred five million, six hundred five thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 709 1418 2127 2836 4254 6381 8508 12762 25524 86413 172826 259239 345652 518478 777717 1036956 1555434 3110868 61266817 122533634 183800451 245067268 367600902 551401353 735201804 1102802706 2205605412