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20522012302224 = 243361946782261
BaseRepresentation
bin1001010101010001001110…
…10000001101101110010000
32200122212220022201000212000
410222220213100031232100
510142213040122132344
6111351403213234000
74215444411255426
oct452504720155620
980585808630760
1020522012302224
1165a2377a33a44
122375378492900
13b5b2a99a01c4
1450d3b0b05116
15258c58227a69
hex12aa2740db90

20522012302224 has 160 divisors (see below), whose sum is σ = 59878496638080. Its totient is φ = 6727736102400.

The previous prime is 20522012302219. The next prime is 20522012302249. The reversal of 20522012302224 is 42220321022502.

It is a happy number.

20522012302224 is a `hidden beast` number, since 2 + 0 + 5 + 2 + 201 + 230 + 2 + 224 = 666.

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

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 31 ways as a sum of consecutive naturals, for example, 249433254 + ... + 249515514.

It is an arithmetic number, because the mean of its divisors is an integer number (374240603988).

Almost surely, 220522012302224 is an apocalyptic number.

20522012302224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20522012302224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29939248319040).

20522012302224 is an abundant number, since it is smaller than the sum of its proper divisors (39356484335856).

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

20522012302224 is a wasteful number, since it uses less digits than its factorization.

20522012302224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91806 (or 91794 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 20522012302224 its reverse (42220321022502), we get a palindrome (62742333324726).

The spelling of 20522012302224 in words is "twenty trillion, five hundred twenty-two billion, twelve million, three hundred two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 61 72 108 122 144 183 216 244 366 432 488 549 732 976 1098 1464 1647 2196 2928 3294 4392 6588 8784 9467 13176 18934 26352 28401 37868 56802 75736 82261 85203 113604 151472 164522 170406 227208 246783 255609 329044 340812 454416 493566 511218 577487 658088 681624 740349 987132 1022436 1154974 1316176 1363248 1480698 1732461 1974264 2044872 2221047 2309948 2961396 3464922 3948528 4089744 4442094 4619896 5017921 5197383 5922792 6929844 8884188 9239792 10035842 10394766 11845584 13859688 15053763 15592149 17768376 20071684 20789532 27719376 30107526 31184298 35536752 40143368 41579064 45161289 60215052 62368596 80286736 83158128 90322578 120430104 124737192 135483867 180645156 240860208 249474384 270967734 361290312 541935468 722580624 778764887 1083870936 1557529774 2167741872 2336294661 3115059548 4672589322 6230119096 7008883983 9345178644 12460238192 14017767966 18690357288 21026651949 28035535932 37380714576 42053303898 47504658107 56071071864 84106607796 95009316214 112142143728 142513974321 168213215592 190018632428 285027948642 336426431184 380037264856 427541922963 570055897284 760074529712 855083845926 1140111794568 1282625768889 1710167691852 2280223589136 2565251537778 3420335383704 5130503075556 6840670767408 10261006151112 20522012302224