Search a number
-
+
23224245324345 = 33513187121313319
BaseRepresentation
bin1010100011111010100001…
…11001001000101000111001
310001020012211120212120001000
411101331100321020220321
511021001223300334340
6121221023201115213
74614616310052552
oct521752071105071
9101205746776030
1023224245324345
117444390037a4a
122731020928b09
13cc60631c5570
145a40b9291329
152a41b134dd30
hex151f50e48a39

23224245324345 has 128 divisors (see below), whose sum is σ = 44521563340800. Its totient is φ = 11418559891200.

The previous prime is 23224245324323. The next prime is 23224245324359. The reversal of 23224245324345 is 54342354242232.

23224245324345 is a `hidden beast` number, since 2 + 3 + 2 + 242 + 45 + 3 + 24 + 345 = 666.

It is not a de Polignac number, because 23224245324345 - 26 = 23224245324281 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 23224245324345.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6997360596 + ... + 6997363914.

It is an arithmetic number, because the mean of its divisors is an integer number (347824713600).

Almost surely, 223224245324345 is an apocalyptic number.

It is an amenable number.

23224245324345 is a deficient number, since it is larger than the sum of its proper divisors (21297318016455).

23224245324345 is a wasteful number, since it uses less digits than its factorization.

23224245324345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7348 (or 7342 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 45.

Adding to 23224245324345 its reverse (54342354242232), we get a palindrome (77566599566577).

The spelling of 23224245324345 in words is "twenty-three trillion, two hundred twenty-four billion, two hundred forty-five million, three hundred twenty-four thousand, three hundred forty-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 117 135 195 351 585 1755 1871 2131 3319 5613 6393 9355 9957 10655 16595 16839 19179 24323 27703 28065 29871 31965 43147 49785 50517 57537 72969 83109 84195 89613 95895 121615 129441 138515 149355 215735 218907 249327 252585 287685 364845 388323 415545 448065 647205 656721 747981 1094535 1164969 1246635 1941615 3283605 3739905 3987101 5824845 6209849 7072789 11961303 18629547 19935505 21218367 31049245 35363945 35883909 51832313 55888641 59806515 63655101 80728037 91946257 93147735 106091835 107651727 155496939 167665923 179419545 190965303 242184111 259161565 275838771 279443205 318275505 403640185 459731285 466490817 538258635 726552333 777484695 827516313 838329615 954826515 1210920555 1379193855 1399472451 2179656999 2332454085 2482548939 3632761665 4137581565 6997362255 10898284995 12412744695 13233188219 39699564657 66165941095 119098693971 172031446847 198497823285 357296081913 516094340541 595493469855 860157234235 1548283021623 1786480409565 2580471702705 4644849064869 7741415108115 23224245324345