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2212412033052 = 22321323516739779
BaseRepresentation
bin100000001100011110000…
…010001000100000011100
321211111121210120010220100
4200030132002020200130
5242222004440024202
64412211300021100
7315561426665244
oct40143602104034
97744553503810
102212412033052
11783307a08141
122b8944391790
131308251b06b0
147911d1a6b24
153c83ae6141c
hex2031e08881c

2212412033052 has 144 divisors (see below), whose sum is σ = 6285907031040. Its totient is φ = 651002292864.

The previous prime is 2212412033017. The next prime is 2212412033053. The reversal of 2212412033052 is 2503302142122.

2212412033052 is a `hidden beast` number, since 2 + 21 + 241 + 20 + 330 + 52 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212412033053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55597699 + ... + 55637477.

It is an arithmetic number, because the mean of its divisors is an integer number (43652132160).

Almost surely, 22212412033052 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 2212412033052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3142953515520).

2212412033052 is an abundant number, since it is smaller than the sum of its proper divisors (4073494997988).

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

2212412033052 is a wasteful number, since it uses less digits than its factorization.

2212412033052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44992 (or 44987 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 2212412033052 its reverse (2503302142122), we get a palindrome (4715714175174).

The spelling of 2212412033052 in words is "two trillion, two hundred twelve billion, four hundred twelve million, thirty-three thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 36 39 46 52 69 78 92 117 138 156 207 234 276 299 414 468 598 828 897 1196 1794 2691 3588 5167 5382 10334 10764 15501 20668 31002 39779 46503 62004 67171 79558 93006 118841 119337 134342 159116 186012 201513 237682 238674 268684 356523 358011 403026 475364 477348 517127 604539 713046 716022 806052 914917 1034254 1069569 1209078 1426092 1432044 1544933 1551381 1829834 2068508 2139138 2418156 2744751 3089866 3102762 3659668 4278276 4634799 4654143 5489502 6179732 6205524 8234253 9269598 9308286 10979004 11893921 13904397 16468506 18539196 18616572 23787842 27808794 32937012 35681763 47575684 55617588 71363526 107045289 142727052 205538093 214090578 411076186 428181156 616614279 822152372 1233228558 1849842837 2466457116 2671995209 3699685674 4727376139 5343990418 7399371348 8015985627 9454752278 10687980836 14182128417 16031971254 18909504556 24047956881 28364256834 32063942508 42546385251 48095913762 56728513668 61455889807 85092770502 96191827524 122911779614 170185541004 184367669421 245823559228 368735338842 553103008263 737470677684 1106206016526 2212412033052