Search a number
-
+
55122220452234 = 231319412314339199
BaseRepresentation
bin11001000100010001001000…
…10111101000100110001010
321020011122002022121122220010
430202020210113220212022
524211110301413432414
6313122444250212350
714416310003036325
oct1442104427504612
9236148068548803
1055122220452234
1116622225459361
1262230801240b6
13249b006a14160
14d87d031797bc
15658cc7243959
hex3222245e898a

55122220452234 has 128 divisors (see below), whose sum is σ = 128030386176000. Its totient is φ = 15675035604480.

The previous prime is 55122220452227. The next prime is 55122220452283. The reversal of 55122220452234 is 43225402222155.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 55122220452192 and 55122220452201.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1406195367 + ... + 1406234565.

It is an arithmetic number, because the mean of its divisors is an integer number (1000237392000).

Almost surely, 255122220452234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55122220452234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64015193088000).

55122220452234 is an abundant number, since it is smaller than the sum of its proper divisors (72908165723766).

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

55122220452234 is a wasteful number, since it uses less digits than its factorization.

55122220452234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62420.

The product of its (nonzero) digits is 384000, while the sum is 39.

Adding to 55122220452234 its reverse (43225402222155), we get a palindrome (98347622674389).

The spelling of 55122220452234 in words is "fifty-five trillion, one hundred twenty-two billion, two hundred twenty million, four hundred fifty-two thousand, two hundred thirty-four".

Divisors: 1 2 3 6 13 19 26 38 39 41 57 78 82 114 123 246 247 494 533 741 779 1066 1482 1558 1599 2337 3198 4674 10127 20254 23143 30381 39199 46286 60762 69429 78398 117597 138858 235194 300859 439717 509587 601718 744781 879434 902577 948863 1019174 1319151 1489562 1528761 1607159 1805154 1897726 2234343 2638302 2846589 3057522 3214318 4468686 4821477 5693178 5716321 9642954 9682153 11432642 12335219 17148963 18028397 19364306 20893067 24670438 29046459 30536021 34297926 36056794 37005657 41786134 54085191 58092918 61072042 62679201 74011314 91608063 108170382 125358402 183216126 234369161 396968273 468738322 703107483 793936546 907182457 1190904819 1406214966 1814364914 2381809638 2721547371 5443094742 11793371941 17236466683 23586743882 34472933366 35380115823 37194480737 51709400049 70760231646 74388961474 103418800098 111583442211 223166884422 224074066879 448148133758 483528249581 672222200637 706695134003 967056499162 1344444401274 1413390268006 1450584748743 2120085402009 2901169497486 4240170804018 9187036742039 18374073484078 27561110226117 55122220452234