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22144121310 = 23529591512857
BaseRepresentation
bin10100100111111001…
…000111100111011110
32010011021001220202010
4110213321013213132
5330322343340220
614101201212050
71412515632303
oct244771074736
963137056663
1022144121310
119433863103
124360031026
13211b97317c
141100d790aa
158990eb1e0
hex527e479de

22144121310 has 128 divisors (see below), whose sum is σ = 56300313600. Its totient is φ = 5565772800.

The previous prime is 22144121303. The next prime is 22144121347. The reversal of 22144121310 is 1312144122.

It is a super-2 number, since 2×221441213102 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7749402 + ... + 7752258.

It is an arithmetic number, because the mean of its divisors is an integer number (439846200).

Almost surely, 222144121310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22144121310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28150156800).

22144121310 is an abundant number, since it is smaller than the sum of its proper divisors (34156192290).

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

22144121310 is a wasteful number, since it uses less digits than its factorization.

22144121310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3106.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 22144121310 its reverse (1312144122), we get a palindrome (23456265432).

The spelling of 22144121310 in words is "twenty-two billion, one hundred forty-four million, one hundred twenty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 29 30 58 59 87 118 145 151 174 177 290 295 302 354 435 453 590 755 870 885 906 1510 1711 1770 2265 2857 3422 4379 4530 5133 5714 8555 8571 8758 8909 10266 13137 14285 17110 17142 17818 21895 25665 26274 26727 28570 42855 43790 44545 51330 53454 65685 82853 85710 89090 131370 133635 165706 168563 248559 258361 267270 337126 414265 431407 497118 505689 516722 775083 828530 842815 862814 1011378 1242795 1291805 1294221 1550166 1685630 2157035 2485590 2528445 2583610 2588442 3875415 4314070 4888327 5056890 6471105 7750830 9776654 12510803 12942210 14664981 24441635 25021606 25453013 29329962 37532409 48883270 50906026 62554015 73324905 75064818 76359039 125108030 127265065 146649810 152718078 187662045 254530130 375324090 381795195 738137377 763590390 1476274754 2214412131 3690686885 4428824262 7381373770 11072060655 22144121310