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2220100002222 = 231924133175527
BaseRepresentation
bin100000010011101000010…
…001011010000110101110
321212020110120211102222020
4200103220101122012232
5242333231100032342
64415522211531010
7316253101440444
oct40235021320656
97766416742866
102220100002222
117865a2634173
122ba32abb9a66
1313147bba298b
147964c248b94
153cb3ad730ec
hex204e845a1ae

2220100002222 has 96 divisors (see below), whose sum is σ = 4815058639104. Its totient is φ = 681909148800.

The previous prime is 2220100002199. The next prime is 2220100002227. The reversal of 2220100002222 is 2222000010222.

It is a super-2 number, since 2×22201000022222 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220100002227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29357023 + ... + 29432549.

It is an arithmetic number, because the mean of its divisors is an integer number (50156860824).

Almost surely, 22220100002222 is an apocalyptic number.

2220100002222 is an abundant number, since it is smaller than the sum of its proper divisors (2594958636882).

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

2220100002222 is a wasteful number, since it uses less digits than its factorization.

2220100002222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75942 (or 75923 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 2220100002222 its reverse (2222000010222), we get a palindrome (4442100012444).

The spelling of 2220100002222 in words is "two trillion, two hundred twenty billion, one hundred million, two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 19 38 41 57 82 114 123 246 331 361 662 722 779 993 1083 1558 1986 2166 2337 4674 6289 12578 13571 14801 18867 27142 29602 37734 40713 44403 75527 81426 88806 119491 151054 226581 238982 257849 358473 453162 515698 716946 773547 1435013 1547094 2870026 3096607 4305039 4899131 6193214 8610078 9289821 9798262 14697393 18579642 24999437 27265247 29394786 49998874 54530494 58835533 74998311 81795741 117671066 149996622 163591482 176506599 353013198 474989303 949978606 1024976917 1117875127 1424967909 2049953834 2235750254 2849935818 3074930751 3353625381 6149861502 6707250762 9024796757 18049593514 19474561423 27074390271 38949122846 54148780542 58423684269 116847368538 370016667037 740033334074 1110050001111 2220100002222