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223200131311212 = 2231135923561199909
BaseRepresentation
bin110010101111111111010100…
…100010100110011001101100
31002021021201112220201211021220
4302233333110202212121230
5213223402332103424322
62110412420315423340
765004451216562166
oct6257772442463154
91067251486654256
10223200131311212
116513370a345320
1221049820454b50
1397708b3679203
143d18d3047b936
151ac0e333ca55c
hexcaffd48a666c

223200131311212 has 96 divisors (see below), whose sum is σ = 569755398643200. Its totient is φ = 67444801113600.

The previous prime is 223200131311169. The next prime is 223200131311231. The reversal of 223200131311212 is 212113131002322.

It is a super-3 number, since 3×2232001313112123 (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1116408714 + ... + 1116608622.

It is an arithmetic number, because the mean of its divisors is an integer number (5934952069200).

Almost surely, 2223200131311212 is an apocalyptic number.

223200131311212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

223200131311212 is an abundant number, since it is smaller than the sum of its proper divisors (346555267331988).

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

223200131311212 is a wasteful number, since it uses less digits than its factorization.

223200131311212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223847 (or 223845 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 223200131311212 its reverse (212113131002322), we get a palindrome (435313262313534).

The spelling of 223200131311212 in words is "two hundred twenty-three trillion, two hundred billion, one hundred thirty-one million, three hundred eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 359 718 1077 1436 2154 3949 4308 7898 11847 15796 23561 23694 47122 47388 70683 94244 141366 199909 259171 282732 399818 518342 599727 777513 799636 1036684 1199454 1555026 2198999 2398908 3110052 4397998 6596997 8458399 8795996 13193994 16916798 25375197 26387988 33833596 50750394 71767331 93042389 101500788 143534662 186084778 215301993 279127167 287069324 372169556 430603986 558254334 789440641 861207972 1116508668 1578881282 2368321923 3157762564 4710055949 4736643846 9420111898 9473287692 14130167847 18840223796 28260335694 51810615439 56520671388 103621230878 155431846317 207242461756 310863692634 621727385268 1690910085691 3381820171382 5072730257073 6763640342764 10145460514146 18600010942601 20290921028292 37200021885202 55800032827803 74400043770404 111600065655606 223200131311212