Search a number
-
+
2214130204350 = 2325219739350423
BaseRepresentation
bin100000001110000100011…
…100011011111010111110
321211200001112121021211100
4200032010130123322332
5242234014313014400
64413053554233530
7315652132132101
oct40160434337276
97750045537740
102214130204350
11784009861719
122b91438858a6
13130a3a14cbbc
147924345c738
153c8dbc04100
hex2038471bebe

2214130204350 has 144 divisors (see below), whose sum is σ = 6270206716800. Its totient is φ = 558600701760.

The previous prime is 2214130204337. The next prime is 2214130204361. The reversal of 2214130204350 is 534020314122.

2214130204350 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 1 + 302 + 0 + 4 + 350 = 666.

2214130204350 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6143239 + ... + 6493661.

It is an arithmetic number, because the mean of its divisors is an integer number (43543102200).

Almost surely, 22214130204350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2214130204350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3135103358400).

2214130204350 is an abundant number, since it is smaller than the sum of its proper divisors (4056076512450).

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

2214130204350 is a wasteful number, since it uses less digits than its factorization.

2214130204350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351199 (or 351191 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 2214130204350 its reverse (534020314122), we get a palindrome (2748150518472).

The spelling of 2214130204350 in words is "two trillion, two hundred fourteen billion, one hundred thirty million, two hundred four thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 30 38 45 50 57 75 90 95 114 150 171 190 225 285 342 450 475 570 739 855 950 1425 1478 1710 2217 2850 3695 4275 4434 6651 7390 8550 11085 13302 14041 18475 22170 28082 33255 36950 42123 55425 66510 70205 84246 110850 126369 140410 166275 210615 252738 332550 350423 351025 421230 631845 700846 702050 1051269 1053075 1263690 1752115 2102538 2106150 3153807 3159225 3504230 5256345 6307614 6318450 6658037 8760575 10512690 13316074 15769035 17521150 19974111 26281725 31538070 33290185 39948222 52563450 59922333 66580370 78845175 99870555 119844666 157690350 166450925 199741110 258962597 299611665 332901850 499352775 517925194 599223330 776887791 998705550 1294812985 1498058325 1553775582 2330663373 2589625970 2996116650 3884438955 4661326746 4920289343 6474064925 7768877910 9840578686 11653316865 12948129850 14760868029 19422194775 23306633730 24601446715 29521736058 38844389550 44282604087 49202893430 58266584325 73804340145 88565208174 116533168650 123007233575 147608680290 221413020435 246014467150 369021700725 442826040870 738043401450 1107065102175 2214130204350