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223463514330368 = 281389770397943
BaseRepresentation
bin110010110011110100100111…
…011001000101010100000000
31002022012220101112100111101022
4302303310213121011110000
5213242211234132032433
62111133415443525012
765032464126365414
oct6263644731052400
91068186345314338
10223463514330368
1165225387180984
1221090886989768
13978c699284240
143d2799843cd44
151ac7beb0a3698
hexcb3d27645500

223463514330368 has 144 divisors (see below), whose sum is σ = 485831372463360. Its totient is φ = 101963884019712.

The previous prime is 223463514330359. The next prime is 223463514330409. The reversal of 223463514330368 is 863033415364322.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2281518005 + ... + 2281615947.

It is an arithmetic number, because the mean of its divisors is an integer number (3373828975440).

Almost surely, 2223463514330368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223463514330368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242915686231680).

223463514330368 is an abundant number, since it is smaller than the sum of its proper divisors (262367858132992).

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

223463514330368 is an equidigital number, since it uses as much as digits as its factorization.

223463514330368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105764 (or 105750 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 53.

The spelling of 223463514330368 in words is "two hundred twenty-three trillion, four hundred sixty-three billion, five hundred fourteen million, three hundred thirty thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 89 104 128 178 208 256 356 416 712 832 1157 1424 1664 2314 2848 3328 4628 5696 7703 9256 11392 15406 18512 22784 30812 37024 61624 74048 97943 100139 123248 148096 195886 200278 246496 296192 391772 400556 492992 685567 783544 801112 985984 1273259 1371134 1567088 1602224 1971968 2546518 2742268 3134176 3204448 5093036 5484536 6268352 6408896 8716927 8912371 10186072 10969072 12536704 12817792 17433854 17824742 20372144 21938144 25073408 25635584 34867708 35649484 40744288 43876288 69735416 71298968 81488576 87752576 113320051 139470832 142597936 162977152 175505152 226640102 278941664 285195872 325954304 453280204 557883328 570391744 754454929 906560408 1115766656 1140783488 1508909858 1813120816 2231533312 2281566976 3017819716 3626241632 6035639432 7252483264 9807914077 12071278864 14504966528 19615828154 24142557728 29009933056 39231656308 48285115456 67146488681 78463312616 96570230912 134292977362 156926625232 193140461824 268585954724 313853250464 537171909448 627706500928 872904352853 1074343818896 1255413001856 1745808705706 2148687637792 2510826003712 3491617411412 4297375275584 6983234822824 8594750551168 13966469645648 17189501102336 27932939291296 55865878582592 111731757165184 223463514330368