Search a number
-
+
222222201001002 = 23343373481353309
BaseRepresentation
bin110010100001110000100011…
…010110100001010000101010
31002010211020100021022210201000
4302201300203112201100222
5213111342031424013002
62104343245251135430
764544011205234106
oct6241604326412052
91063736307283630
10222222201001002
11648969a7164a84
1220b101995a4576
1396cc6047c2c17
143cc387d156906
151aa579945b61c
hexca1c235a142a

222222201001002 has 128 divisors (see below), whose sum is σ = 506780963884800. Its totient is φ = 72141097174272.

The previous prime is 222222201000997. The next prime is 222222201001043. The reversal of 222222201001002 is 200100102222222.

222222201001002 is a `hidden beast` number, since 22 + 222 + 220 + 100 + 100 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4168541524 + ... + 4168594832.

It is an arithmetic number, because the mean of its divisors is an integer number (3959226280350).

Almost surely, 2222222201001002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222222201001002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253390481942400).

222222201001002 is an abundant number, since it is smaller than the sum of its proper divisors (284558762883798).

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

222222201001002 is a wasteful number, since it uses less digits than its factorization.

222222201001002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58549 (or 58543 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 222222201001002 its reverse (200100102222222), we get a palindrome (422322303223224).

The spelling of 222222201001002 in words is "two hundred twenty-two trillion, two hundred twenty-two billion, two hundred one million, one thousand, two".

Divisors: 1 2 3 6 9 18 27 43 54 86 129 258 373 387 746 774 1119 1161 2238 2322 3357 4813 6714 9626 10071 14439 16039 20142 28878 32078 43317 48117 53309 86634 96234 106618 129951 144351 159927 206959 259902 288702 319854 413918 433053 479781 620877 866106 959562 1241754 1439343 1795249 1862631 2292287 2878686 3590498 3725262 4584574 5385747 5587893 6876861 10771494 11175786 13753722 16157241 19884257 20630583 32314482 39768514 41261166 48471723 59652771 61891749 77195707 96943446 119305542 123783498 154391414 178958313 231587121 256576217 357916626 463174242 513152434 536874939 694761363 769728651 855023051 1073749878 1389522726 1539457302 1710046102 2084284089 2309185953 2565069153 4168568178 4618371906 5130138306 6927557859 7695207459 11032777331 13855115718 15390414918 22065554662 23085622377 33098331993 46171244754 66196663986 95702928941 99294995979 191405857882 198589991958 287108786823 297884987937 574217573646 595769975874 861326360469 1722652720938 2583979081407 4115225944463 5167958162814 8230451888926 12345677833389 24691355666778 37037033500167 74074067000334 111111100500501 222222201001002