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22001210222112 = 2533112314942153
BaseRepresentation
bin1010000000010100011100…
…10100011110011000100000
32212220021222011120000021000
411000022032110132120200
510340431434304101422
6114443114430232000
74430351333161212
oct500121624363040
985807864500230
1022001210222112
11701272a666690
122573b94955600
13c379224ab264
14560c1573c5b2
1528247e21ccac
hex14028e51e620

22001210222112 has 96 divisors (see below), whose sum is σ = 70003850736960. Its totient is φ = 6667033397760.

The previous prime is 22001210221997. The next prime is 22001210222113. The reversal of 22001210222112 is 21122201210022.

It is a happy number.

22001210222112 is a `hidden beast` number, since 220 + 0 + 1 + 210 + 2 + 221 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (22001210222113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1157461573 + ... + 1157480580.

It is an arithmetic number, because the mean of its divisors is an integer number (729206778510).

Almost surely, 222001210222112 is an apocalyptic number.

22001210222112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

22001210222112 is an abundant number, since it is smaller than the sum of its proper divisors (48002640514848).

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

22001210222112 is a wasteful number, since it uses less digits than its factorization.

22001210222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2314942183 (or 2314942169 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22001210222112 its reverse (21122201210022), we get a palindrome (43123411432134).

The spelling of 22001210222112 in words is "twenty-two trillion, one billion, two hundred ten million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1584 2376 3168 4752 9504 2314942153 4629884306 6944826459 9259768612 13889652918 18519537224 20834479377 25464363683 27779305836 37039074448 41668958754 50928727366 55558611672 62503438131 74078148896 76393091049 83337917508 101857454732 111117223344 125006876262 152786182098 166675835016 203714909464 222234446688 229179273147 250013752524 305572364196 333351670032 407429818928 458358546294 500027505048 611144728392 666703340064 687537819441 814859637856 916717092588 1000055010096 1222289456784 1375075638882 1833434185176 2000110020192 2444578913568 2750151277764 3666868370352 5500302555528 7333736740704 11000605111056 22001210222112