Search a number
-
+
222610445665056 = 253537773726663
BaseRepresentation
bin110010100111011010001000…
…100010011000001100100000
31002012012100110201011020100000
4302213122020202120030200
5213134222143042240211
62105241454341500000
764614034236360501
oct6247321042301440
91065170421136300
10222610445665056
1164a266181544a9
1220b7348ba11600
13972a0c8891477
143cd858ddc8ba8
151ab091dd12656
hexca7688898320

222610445665056 has 144 divisors (see below), whose sum is σ = 674237794636224. Its totient is φ = 72197982284544.

The previous prime is 222610445665039. The next prime is 222610445665121. The reversal of 222610445665056 is 650566544016222.

222610445665056 is a `hidden beast` number, since 2 + 2 + 26 + 1 + 0 + 4 + 4 + 566 + 5 + 0 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 222610445664993 and 222610445665011.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 386575620 + ... + 387151043.

It is an arithmetic number, because the mean of its divisors is an integer number (4682206907196).

Almost surely, 2222610445665056 is an apocalyptic number.

It is an amenable number.

222610445665056 is an abundant number, since it is smaller than the sum of its proper divisors (451627348971168).

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

222610445665056 is an equidigital number, since it uses as much as digits as its factorization.

222610445665056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773726725 (or 773726705 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 54.

The spelling of 222610445665056 in words is "two hundred twenty-two trillion, six hundred ten billion, four hundred forty-five million, six hundred sixty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 72 74 81 96 108 111 144 148 162 216 222 243 288 296 324 333 432 444 486 592 648 666 864 888 972 999 1184 1296 1332 1776 1944 1998 2592 2664 2997 3552 3888 3996 5328 5994 7776 7992 8991 10656 11988 15984 17982 23976 31968 35964 47952 71928 95904 143856 287712 773726663 1547453326 2321179989 3094906652 4642359978 6189813304 6963539967 9284719956 12379626608 13927079934 18569439912 20890619901 24759253216 27854159868 28627886531 37138879824 41781239802 55708319736 57255773062 62671859703 74277759648 83562479604 85883659593 111416639472 114511546124 125343719406 167124959208 171767319186 188015579109 222833278944 229023092248 250687438812 257650978779 334249918416 343534638372 376031158218 458046184496 501374877624 515301957558 668499836832 687069276744 752062316436 772952936337 916092368992 1002749755248 1030603915116 1374138553488 1504124632872 1545905872674 2005499510496 2061207830232 2318858809011 2748277106976 3008249265744 3091811745348 4122415660464 4637717618022 6016498531488 6183623490696 6956576427033 8244831320928 9275435236044 12367246981392 13913152854066 18550870472088 24734493962784 27826305708132 37101740944176 55652611416264 74203481888352 111305222832528 222610445665056