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2222313321222 = 2332389106318913
BaseRepresentation
bin100000010101101100001…
…100100011001100000110
321212110011211120200212000
4200111230030203030012
5242402244202234342
64420525555010130
7316361665361511
oct40255414431406
97773154520760
102222313321222
11787528a30525
122ba848299946
131317425b87a7
14797bc191d78
153cc1a32144c
hex2056c323306

2222313321222 has 128 divisors (see below), whose sum is σ = 5216269363200. Its totient is φ = 699906189312.

The previous prime is 2222313321211. The next prime is 2222313321223. The reversal of 2222313321222 is 2221233132222.

2222313321222 is a `hidden beast` number, since 2 + 2 + 2 + 2 + 313 + 321 + 2 + 22 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2222313321223) 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, 117492438 + ... + 117511350.

It is an arithmetic number, because the mean of its divisors is an integer number (40752104400).

Almost surely, 22222313321222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2222313321222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2608134681600).

2222313321222 is an abundant number, since it is smaller than the sum of its proper divisors (2993956041978).

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

2222313321222 is a wasteful number, since it uses less digits than its factorization.

2222313321222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20099 (or 20093 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

Adding to 2222313321222 its reverse (2221233132222), we get a palindrome (4443546453444).

It can be divided in two parts, 222231 and 3321222, that added together give a palindrome (3543453).

The spelling of 2222313321222 in words is "two trillion, two hundred twenty-two billion, three hundred thirteen million, three hundred twenty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 89 138 178 207 267 414 534 621 801 1063 1242 1602 2047 2126 2403 3189 4094 4806 6141 6378 9567 12282 18423 18913 19134 24449 28701 36846 37826 48898 55269 56739 57402 73347 94607 110538 113478 146694 170217 189214 220041 283821 340434 434999 440082 510651 567642 660123 851463 869998 1021302 1304997 1320246 1683257 1702926 2175961 2554389 2609994 3366514 3914991 4351922 5049771 5108778 6527883 7829982 10099542 11744973 13055766 15149313 19583649 20104519 23489946 30298626 38714911 39167298 40209038 45447939 58750947 60313557 77429822 90895878 116144733 117501894 120627114 180940671 232289466 348434199 361881342 462403937 542822013 696868398 924807874 1045302597 1085644026 1387211811 1789302191 2090605194 2774423622 3578604382 4161635433 5367906573 8323270866 10735813146 12484906299 16103719719 24969812598 32207439438 41153950393 48311159157 82307900786 96622318314 123461851179 246923702358 370385553537 740771107074 1111156660611 2222313321222