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2114024422224 = 24311131373224317
BaseRepresentation
bin11110110000110101101…
…011001011101101010000
321111002122222220122210010
4132300311223023231100
5234114010223002344
64255100332034520
7305506332046641
oct36606553135520
97432588818703
102114024422224
11745609745980
122a1866602a40
13124475753bb0
14744683436c8
1539ecd5718b9
hex1ec35acbb50

2114024422224 has 160 divisors (see below), whose sum is σ = 6420691799424. Its totient is φ = 590902179840.

The previous prime is 2114024422219. The next prime is 2114024422267. The reversal of 2114024422224 is 4222244204112.

It is a junction number, because it is equal to n+sod(n) for n = 2114024422191 and 2114024422200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9312114 + ... + 9536430.

Almost surely, 22114024422224 is an apocalyptic number.

2114024422224 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 2114024422224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3210345899712).

2114024422224 is an abundant number, since it is smaller than the sum of its proper divisors (4306667377200).

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

2114024422224 is a wasteful number, since it uses less digits than its factorization.

2114024422224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225725 (or 225719 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 2114024422224 its reverse (4222244204112), we get a palindrome (6336268626336).

The spelling of 2114024422224 in words is "two trillion, one hundred fourteen billion, twenty-four million, four hundred twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 264 286 312 429 528 572 624 858 1144 1373 1716 2288 2746 3432 4119 5492 6864 8238 10984 15103 16476 17849 21968 30206 32952 35698 45309 53547 60412 65904 71396 90618 107094 120824 142792 181236 196339 214188 224317 241648 285584 362472 392678 428376 448634 589017 672951 724944 785356 856752 897268 1178034 1345902 1570712 1794536 2356068 2467487 2691804 2916121 3141424 3589072 4712136 4934974 5383608 5832242 7402461 8748363 9424272 9869948 10767216 11664484 14804922 17496726 19739896 23328968 29609844 32077331 34993452 39479792 46657936 59219688 64154662 69986904 96231993 118439376 128309324 139973808 192463986 256618648 307987241 384927972 513237296 615974482 769855944 923961723 1231948964 1539711888 1847923446 2463897928 3387859651 3695846892 4003834133 4927795856 6775719302 7391693784 8007668266 10163578953 12011502399 13551438604 14783387568 16015336532 20327157906 24023004798 27102877208 32030673064 40654315812 44042175463 48046009596 54205754416 64061346128 81308631624 88084350926 96092019192 132126526389 162617263248 176168701852 192184038384 264253052778 352337403704 528506105556 704674807408 1057012211112 2114024422224