Search a number
-
+
2230343111205 = 3351129421123017
BaseRepresentation
bin100000011101001010110…
…011110001001000100101
321220012220110001021221000
4200131022303301020211
5243020220314024310
64424334441143513
7320064660434106
oct40351263611045
97805813037830
102230343111205
1178a9795a55a0
1230030948ab99
1313242205c101
1479d407b23ad
153d03a2534c0
hex2074acf1225

2230343111205 has 128 divisors (see below), whose sum is σ = 4485334694400. Its totient is φ = 1041601075200.

The previous prime is 2230343111201. The next prime is 2230343111209. The reversal of 2230343111205 is 5021113430322.

2230343111205 is a `hidden beast` number, since 2 + 2 + 3 + 0 + 343 + 111 + 205 = 666.

It is an interprime number because it is at equal distance from previous prime (2230343111201) and next prime (2230343111209).

It is not a de Polignac number, because 2230343111205 - 22 = 2230343111201 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2230343111201) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18068857 + ... + 18191873.

It is an arithmetic number, because the mean of its divisors is an integer number (35041677300).

Almost surely, 22230343111205 is an apocalyptic number.

It is an amenable number.

2230343111205 is an abundant number, since it is smaller than the sum of its proper divisors (2254991583195).

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

2230343111205 is a wasteful number, since it uses less digits than its factorization.

2230343111205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123492 (or 123486 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 2230343111205 its reverse (5021113430322), we get a palindrome (7251456541527).

The spelling of 2230343111205 in words is "two trillion, two hundred thirty billion, three hundred forty-three million, one hundred eleven thousand, two hundred five".

Divisors: 1 3 5 9 11 15 27 29 33 45 55 87 99 135 145 165 261 297 319 421 435 495 783 957 1263 1305 1485 1595 2105 2871 3789 3915 4631 4785 6315 8613 11367 12209 13893 14355 18945 23155 36627 41679 43065 56835 61045 69465 109881 123017 125037 134299 183135 208395 329643 369051 402897 549405 615085 625185 671495 1107153 1208691 1353187 1648215 1845255 2014485 3321459 3567493 3626073 4059561 5535765 6043455 6765935 10702479 12178683 16607295 17837465 18130365 20297805 32107437 36536049 39242423 51790157 53512395 60893415 96322311 117727269 155370471 160537185 182680245 196212115 258950785 353181807 466111413 481611555 569691727 588636345 776852355 1059545421 1398334239 1501914553 1709075181 1765909035 2330557065 2848458635 4505743659 5127225543 5297727105 6991671195 7509572765 8545375905 13517230977 15381676629 16521060083 22528718295 25636127715 40551692931 49563180249 67586154885 76908383145 82605300415 148689540747 202758464655 247815901245 446068622241 743447703735 2230343111205