Search a number
-
+
12223086294056 = 23114322714229967
BaseRepresentation
bin1011000111011110100010…
…1101110111010000101000
31121021111220220022001001212
42301313220231313100220
53100230340042402211
641555112555332252
72401042321145201
oct261675055672050
947244826261055
1012223086294056
113992866615470
121454abaa51088
136a882a923091
14303859c125a8
15162e3d04d38b
hexb1de8b77428

12223086294056 has 64 divisors (see below), whose sum is σ = 25695907015680. Its totient is φ = 5402833490880.

The previous prime is 12223086294037. The next prime is 12223086294059. The reversal of 12223086294056 is 65049268032221.

It is a super-2 number, since 2×122230862940562 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12223086293995 and 12223086294013.

It is not an unprimeable number, because it can be changed into a prime (12223086294059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6256016 + ... + 7973951.

It is an arithmetic number, because the mean of its divisors is an integer number (401498547120).

Almost surely, 212223086294056 is an apocalyptic number.

It is an amenable number.

12223086294056 is an abundant number, since it is smaller than the sum of its proper divisors (13472820721624).

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

12223086294056 is a wasteful number, since it uses less digits than its factorization.

12223086294056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14230254 (or 14230250 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 50.

The spelling of 12223086294056 in words is "twelve trillion, two hundred twenty-three billion, eighty-six million, two hundred ninety-four thousand, fifty-six".

Divisors: 1 2 4 8 11 22 43 44 86 88 172 227 344 454 473 908 946 1816 1892 2497 3784 4994 9761 9988 19522 19976 39044 78088 107371 214742 429484 858968 14229967 28459934 56919868 113839736 156529637 313059274 611888581 626118548 1223777162 1252237096 2447554324 3230202509 4895108648 6460405018 6730774391 12920810036 13461548782 25841620072 26923097564 35532227599 53846195128 71064455198 138898707887 142128910396 277797415774 284257820792 555594831548 1111189663096 1527885786757 3055771573514 6111543147028 12223086294056