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223440114242340 = 223252035360990221
BaseRepresentation
bin110010110011011110110100…
…101000110101001100100100
31002022010122222201221212012100
4302303132310220311030210
5213241320323221223330
62111114545454452100
765031005220046422
oct6263366450651444
91068118881855170
10223440114242340
1165216469466456
1221088236204030
13978a40a3526c8
143d267b8766112
151ac72cbab4060
hexcb37b4a35324

223440114242340 has 72 divisors (see below), whose sum is σ = 677801658309048. Its totient is φ = 59581101957120.

The previous prime is 223440114242339. The next prime is 223440114242363. The reversal of 223440114242340 is 43242411044322.

223440114242340 is a `hidden beast` number, since 2 + 2 + 3 + 4 + 401 + 1 + 4 + 242 + 3 + 4 + 0 = 666.

223440114242340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 490481718336 + 222949632524004 = 700344^2 + 14931498^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 223440114242295 and 223440114242304.

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, 26831571 + ... + 34158650.

It is an arithmetic number, because the mean of its divisors is an integer number (9413911920959).

Almost surely, 2223440114242340 is an apocalyptic number.

223440114242340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223440114242340 is an abundant number, since it is smaller than the sum of its proper divisors (454361544066708).

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

223440114242340 is a wasteful number, since it uses less digits than its factorization.

223440114242340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61010589 (or 61010584 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 223440114242340 its reverse (43242411044322), we get a palindrome (266682525286662).

The spelling of 223440114242340 in words is "two hundred twenty-three trillion, four hundred forty billion, one hundred fourteen million, two hundred forty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 20353 40706 61059 81412 101765 122118 183177 203530 244236 305295 366354 407060 610590 732708 915885 1221180 1831770 3663540 60990221 121980442 182970663 243960884 304951105 365941326 548911989 609902210 731882652 914853315 1097823978 1219804420 1829706630 2195647956 2744559945 3659413260 5489119890 10978239780 1241333968013 2482667936026 3724001904039 4965335872052 6206669840065 7448003808078 11172005712117 12413339680130 14896007616156 18620009520195 22344011424234 24826679360260 37240019040390 44688022848468 55860028560585 74480038080780 111720057121170 223440114242340