Search a number
-
+
222124030131432 = 2331113173807144353
BaseRepresentation
bin110010100000010101000111…
…111010010111110011101000
31002010110211221120111220200210
4302200111013322113303220
5213103240003203201212
62104230212024501120
764533634351510302
oct6240250772276350
91063424846456623
10222124030131432
11648592aa27a720
1220ab516031a7a0
1396c328ac327a0
143cbcc08dd2972
151aa2e50ad153c
hexca0547e97ce8

222124030131432 has 128 divisors (see below), whose sum is σ = 690768271589760. Its totient is φ = 58477737246720.

The previous prime is 222124030131407. The next prime is 222124030131439. The reversal of 222124030131432 is 234131030421222.

It is a happy number.

222124030131432 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2221240301314322 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 222124030131432.

It is not an unprimeable number, because it can be changed into a prime (222124030131439) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1903513833 + ... + 1903630520.

It is an arithmetic number, because the mean of its divisors is an integer number (5396627121795).

Almost surely, 2222124030131432 is an apocalyptic number.

222124030131432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

222124030131432 is an abundant number, since it is smaller than the sum of its proper divisors (468644241458328).

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

222124030131432 is a wasteful number, since it uses less digits than its factorization.

222124030131432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3807144403 (or 3807144399 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 222124030131432 its reverse (234131030421222), we get a palindrome (456255060552654).

The spelling of 222124030131432 in words is "two hundred twenty-two trillion, one hundred twenty-four billion, thirty million, one hundred thirty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 13 17 22 24 26 33 34 39 44 51 52 66 68 78 88 102 104 132 136 143 156 187 204 221 264 286 312 374 408 429 442 561 572 663 748 858 884 1122 1144 1326 1496 1716 1768 2244 2431 2652 3432 4488 4862 5304 7293 9724 14586 19448 29172 58344 3807144353 7614288706 11421433059 15228577412 22842866118 30457154824 41878587883 45685732236 49492876589 64721454001 83757175766 91371464472 98985753178 125635763649 129442908002 148478629767 167514351532 194164362003 197971506356 251271527298 258885816004 296957259534 335028703064 388328724006 395943012712 502543054596 517771632008 544421642479 593914519068 711935994011 776657448012 841378902013 1005086109192 1088843284958 1187829038136 1423871988022 1553314896024 1633264927437 1682757804026 2135807982033 2177686569916 2524136706039 2847743976044 3266529854874 3365515608052 4271615964066 4355373139832 5048273412078 5695487952088 6533059709748 6731031216104 8543231928132 9255167922143 10096546824156 13066119419496 17086463856264 18510335844286 20193093648312 27765503766429 37020671688572 55531007532858 74041343377144 111062015065716 222124030131432