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2005005144222 = 233199729716781
BaseRepresentation
bin11101001011010011100…
…111101001000010011110
321002200021020220112002000
4131023103213221002132
5230322222304103342
64133030414343130
7264566616346203
oct35132347510236
97080236815060
102005005144222
11703355151813
122847001baaa6
131170c04a4582
146d0854cdcaa
153724c5ed44c
hex1d2d39e909e

2005005144222 has 128 divisors (see below), whose sum is σ = 4740715660800. Its totient is φ = 626328806400.

The previous prime is 2005005144217. The next prime is 2005005144229. The reversal of 2005005144222 is 2224415005002.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005005144229) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 295676472 + ... + 295683252.

It is an arithmetic number, because the mean of its divisors is an integer number (37036841100).

Almost surely, 22005005144222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2005005144222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2370357830400).

2005005144222 is an abundant number, since it is smaller than the sum of its proper divisors (2735710516578).

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

2005005144222 is a wasteful number, since it uses less digits than its factorization.

2005005144222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9879 (or 9873 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The spelling of 2005005144222 in words is "two trillion, five billion, five million, one hundred forty-four thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 97 114 171 194 291 342 513 582 873 1026 1746 1843 2619 2971 3686 5238 5529 5942 6781 8913 11058 13562 16587 17826 20343 26739 33174 40686 49761 53478 56449 61029 80217 99522 112898 122058 128839 160434 169347 183087 257678 288187 338694 366174 386517 508041 576374 657757 773034 864561 1016082 1159551 1315514 1524123 1729122 1973271 2319102 2593683 3048246 3478653 3946542 5187366 5475553 5919813 6957306 7781049 10951106 11839626 12497383 15562098 16426659 17759439 20146351 24994766 32853318 35518878 37492149 40292702 49279977 60439053 74984298 98559954 112476447 120878106 147839931 181317159 224952894 295679862 337429341 362634318 382780669 543951477 674858682 765561338 1087902954 1148342007 1954196047 2296684014 3445026021 3908392094 5862588141 6890052042 10335078063 11725176282 17587764423 20670156126 35175528846 37129724893 52763293269 74259449786 105526586538 111389174679 222778349358 334167524037 668335048074 1002502572111 2005005144222