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2066667084 = 22321773167277
BaseRepresentation
bin111101100101110…
…1101011001001100
312100000210120021100
41323023231121030
513213031321314
6541023503100
7102133244316
oct17313553114
95300716240
102066667084
11970641629
12498157a90
1326c219b41
141586907b6
15c1680c09
hex7b2ed64c

2066667084 has 144 divisors (see below), whose sum is σ = 5661085248. Its totient is φ = 633360384.

The previous prime is 2066667041. The next prime is 2066667089. The reversal of 2066667084 is 4807666602.

It is a super-2 number, since 2×20666670842 = 8542225672178126112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2066667089) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7460754 + ... + 7461030.

It is an arithmetic number, because the mean of its divisors is an integer number (39313092).

Almost surely, 22066667084 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 2066667084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2830542624).

2066667084 is an abundant number, since it is smaller than the sum of its proper divisors (3594418164).

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

2066667084 is a wasteful number, since it uses less digits than its factorization.

2066667084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 2066667084 is about 45460.6102466740. The cubic root of 2066667084 is about 1273.7675305950.

The spelling of 2066667084 in words is "two billion, sixty-six million, six hundred sixty-seven thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 73 102 146 153 167 204 219 277 292 306 334 438 501 554 612 657 668 831 876 1002 1108 1241 1314 1503 1662 2004 2482 2493 2628 2839 3006 3324 3723 4709 4964 4986 5678 6012 7446 8517 9418 9972 11169 11356 12191 14127 14892 17034 18836 20221 22338 24382 25551 28254 34068 36573 40442 42381 44676 46259 48764 51102 56508 60663 73146 80884 84762 92518 102204 109719 121326 138777 146292 169524 181989 185036 207247 219438 242652 277554 343757 363978 414494 416331 438876 555108 621741 687514 727956 786403 828988 832662 1031271 1243482 1375028 1572806 1665324 1865223 2062542 2359209 2486964 3093813 3145612 3376907 3730446 4125084 4718418 6187626 6753814 7077627 7460892 9436836 10130721 12375252 13507628 14155254 20261442 28310508 30392163 40522884 57407419 60784326 114814838 121568652 172222257 229629676 344444514 516666771 688889028 1033333542 2066667084