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223585306155468 = 223229214162170647
BaseRepresentation
bin110010110101100110000010…
…110000000001100111001100
31002022122112202102011020211100
4302311212002300001213030
5213301210201333433333
62111305401025223100
765044335213666615
oct6265460260014714
91068575672136740
10223585306155468
1165271aa5516794
12210b03b6791a90
13979b00875873a
143d2d82d730c0c
151acae784ea213
hexcb5982c019cc

223585306155468 has 36 divisors (see below), whose sum is σ = 584662725869040. Its totient is φ = 71958489337056.

The previous prime is 223585306155443. The next prime is 223585306155503. The reversal of 223585306155468 is 864551603585322.

223585306155468 is a `hidden beast` number, since 2 + 2 + 3 + 5 + 8 + 5 + 3 + 0 + 615 + 5 + 4 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107081084280 + ... + 107081086367.

It is an arithmetic number, because the mean of its divisors is an integer number (16240631274140).

Almost surely, 2223585306155468 is an apocalyptic number.

It is an amenable number.

223585306155468 is an abundant number, since it is smaller than the sum of its proper divisors (361077419713572).

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

223585306155468 is a wasteful number, since it uses less digits than its factorization.

223585306155468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214162170686 (or 214162170681 counting only the distinct ones).

The product of its (nonzero) digits is 207360000, while the sum is 63.

The spelling of 223585306155468 in words is "two hundred twenty-three trillion, five hundred eighty-five billion, three hundred six million, one hundred fifty-five thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 214162170647 428324341294 642486511941 856648682588 1284973023882 1927459535823 2569946047764 3854919071646 6210702948763 7709838143292 12421405897526 18632108846289 24842811795052 37264217692578 55896326538867 74528435385156 111792653077734 223585306155468