Search a number
-
+
2244455300256 = 2531317105790691
BaseRepresentation
bin100000101010010011111…
…101011111110010100000
321221120022221121202221120
4200222103331133302200
5243233121024102011
64435031042252240
7321104460162321
oct40522375376240
97846287552846
102244455300256
11795960560054
12302ba7657080
1313386098b830
147a8bcb30448
153d5b4147a06
hex20a93f5fca0

2244455300256 has 96 divisors (see below), whose sum is σ = 6718132104768. Its totient is φ = 649977999360.

The previous prime is 2244455300201. The next prime is 2244455300287. The reversal of 2244455300256 is 6520035544422.

2244455300256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×22444553002562 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52874130 + ... + 52916561.

It is an arithmetic number, because the mean of its divisors is an integer number (69980542758).

Almost surely, 22244455300256 is an apocalyptic number.

2244455300256 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2244455300256 is an abundant number, since it is smaller than the sum of its proper divisors (4473676804512).

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

2244455300256 is a wasteful number, since it uses less digits than its factorization.

2244455300256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105790734 (or 105790726 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 42.

The spelling of 2244455300256 in words is "two trillion, two hundred forty-four billion, four hundred fifty-five million, three hundred thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 68 78 96 102 104 136 156 204 208 221 272 312 408 416 442 544 624 663 816 884 1248 1326 1632 1768 2652 3536 5304 7072 10608 21216 105790691 211581382 317372073 423162764 634744146 846325528 1269488292 1375278983 1692651056 1798441747 2538976584 2750557966 3385302112 3596883494 4125836949 5077953168 5395325241 5501115932 7193766988 8251673898 10155906336 10790650482 11002231864 14387533976 16503347796 21581300964 22004463728 23379742711 28775067952 33006695592 43162601928 44008927456 46759485422 57550135904 66013391184 70139228133 86325203856 93518970844 132026782368 140278456266 172650407712 187037941688 280556912532 374075883376 561113825064 748151766752 1122227650128 2244455300256