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223215106292352 = 273471303228659
BaseRepresentation
bin110010110000001101010001…
…000111100111101010000000
31002021100011012112210200120000
4302300031101013213222000
5213224124014202323402
62110423334301320000
765005521264040266
oct6260152107475200
91067304175720500
10223215106292352
1165139aa4329299
12210506bb566000
13977212bc755b5
143d1995122c436
151ac150cdebc1c
hexcb03511e7a80

223215106292352 has 160 divisors (see below), whose sum is σ = 673640661909600. Its totient is φ = 73357076943360.

The previous prime is 223215106292323. The next prime is 223215106292369. The reversal of 223215106292352 is 253292601512322.

223215106292352 is a `hidden beast` number, since 2 + 2 + 3 + 2 + 1 + 5 + 1 + 0 + 6 + 292 + 352 = 666.

It is a super-3 number, since 3×2232151062923523 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223215106292298 and 223215106292307.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 150878202 + ... + 152350457.

It is an arithmetic number, because the mean of its divisors is an integer number (4210254136935).

Almost surely, 2223215106292352 is an apocalyptic number.

It is an amenable number.

223215106292352 is an abundant number, since it is smaller than the sum of its proper divisors (450425555617248).

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

223215106292352 is an equidigital number, since it uses as much as digits as its factorization.

223215106292352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303228756 (or 303228735 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 223215106292352 in words is "two hundred twenty-three trillion, two hundred fifteen billion, one hundred six million, two hundred ninety-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 71 72 81 96 108 128 142 144 162 192 213 216 284 288 324 384 426 432 568 576 639 648 852 864 1136 1152 1278 1296 1704 1728 1917 2272 2556 2592 3408 3456 3834 4544 5112 5184 5751 6816 7668 9088 10224 10368 11502 13632 15336 20448 23004 27264 30672 40896 46008 61344 81792 92016 122688 184032 245376 368064 736128 303228659 606457318 909685977 1212914636 1819371954 2425829272 2729057931 3638743908 4851658544 5458115862 7277487816 8187173793 9703317088 10916231724 14554975632 16374347586 19406634176 21529234789 21832463448 24561521379 29109951264 32748695172 38813268352 43058469578 43664926896 49123042758 58219902528 64587704367 65497390344 86116939156 87329853792 98246085516 116439805056 129175408734 130994780688 172233878312 174659707584 193763113101 196492171032 258350817468 261989561376 344467756624 349319415168 387526226202 392984342064 516701634936 523979122752 581289339303 688935513248 775052452404 785968684128 1033403269872 1047958245504 1162578678606 1377871026496 1550104904808 1571937368256 1743868017909 2066806539744 2325157357212 2755742052992 3100209809616 3143874736512 3487736035818 4133613079488 4650314714424 6200419619232 6975472071636 8267226158976 9300629428848 12400839238464 13950944143272 18601258857696 24801678476928 27901888286544 37202517715392 55803776573088 74405035430784 111607553146176 223215106292352