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2012000022 = 2321930719163
BaseRepresentation
bin111011111101100…
…1010111100010110
312012012221012011100
41313323022330112
513110033000042
6531352050530
7100600501164
oct16773127426
95165835140
102012000022
119427a343a
12481993a46
13260ab9376
14151300234
15bb98324c
hex77ecaf16

2012000022 has 48 divisors (see below), whose sum is σ = 4603959360. Its totient is φ = 633265776.

The previous prime is 2012000009. The next prime is 2012000033. The reversal of 2012000022 is 2200002102.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2011999968 and 2012000013.

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, 95413 + ... + 114575.

It is an arithmetic number, because the mean of its divisors is an integer number (95915820).

Almost surely, 22012000022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2012000022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2301979680).

2012000022 is an abundant number, since it is smaller than the sum of its proper divisors (2591959338).

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

2012000022 is a wasteful number, since it uses less digits than its factorization.

2012000022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19497 (or 19494 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2012000022 is about 44855.3232292445. The cubic root of 2012000022 is about 1262.4358736438.

Adding to 2012000022 its reverse (2200002102), we get a palindrome (4212002124).

The spelling of 2012000022 in words is "two billion, twelve million, twenty-two", and thus it is an aban number and an uban number.

Divisors: 1 2 3 6 9 18 19 38 57 114 171 307 342 614 921 1842 2763 5526 5833 11666 17499 19163 34998 38326 52497 57489 104994 114978 172467 344934 364097 728194 1092291 2184582 3276873 5883041 6553746 11766082 17649123 35298246 52947369 105894738 111777779 223555558 335333337 670666674 1006000011 2012000022