Search a number
-
+
23223125435202 = 232711101165896057
BaseRepresentation
bin1010100011111000011100…
…01001000110001101000010
310001020002221112121021221100
411101330032021012031002
511020441430102411302
6121220320114035230
74614546461131620
oct521741611061502
9101202845537840
1023223125435202
117443965978730
122730969878b16
13cc5c1519ca74
145a4010656510
152a4147d89d1c
hex151f0e246342

23223125435202 has 96 divisors (see below), whose sum is σ = 63353713797504. Its totient is φ = 5972258016000.

The previous prime is 23223125435141. The next prime is 23223125435233. The reversal of 23223125435202 is 20253452132232.

23223125435202 is a `hidden beast` number, since 2 + 3 + 2 + 2 + 3 + 12 + 5 + 435 + 202 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82808043 + ... + 83088014.

It is an arithmetic number, because the mean of its divisors is an integer number (659934518724).

Almost surely, 223223125435202 is an apocalyptic number.

23223125435202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

23223125435202 is an abundant number, since it is smaller than the sum of its proper divisors (40130588362302).

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

23223125435202 is a wasteful number, since it uses less digits than its factorization.

23223125435202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165896184 (or 165896181 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 23223125435202 its reverse (20253452132232), we get a palindrome (43476577567434).

The spelling of 23223125435202 in words is "twenty-three trillion, two hundred twenty-three billion, one hundred twenty-five million, four hundred thirty-five thousand, two hundred two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 101 126 154 198 202 231 303 462 606 693 707 909 1111 1386 1414 1818 2121 2222 3333 4242 6363 6666 7777 9999 12726 15554 19998 23331 46662 69993 139986 165896057 331792114 497688171 995376342 1161272399 1493064513 1824856627 2322544798 2986129026 3483817197 3649713254 5474569881 6967634394 10451451591 10949139762 12773996389 16423709643 16755501757 20902903182 25547992778 32847419286 33511003514 38321989167 50266505271 76643978334 100533010542 114965967501 117288512299 150799515813 184310519327 229931935002 234577024598 301599031626 351865536897 368621038654 552931557981 703731073794 1055596610691 1105863115962 1290173635289 1658794673943 2111193221382 2580347270578 3317589347886 3870520905867 7741041811734 11611562717601 23223125435202