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223075353103400 = 23527223989686571
BaseRepresentation
bin110010101110001011000111…
…001011100000110000101000
31002020211210110220112002220202
4302232023013023200300220
5213214331310343302100
62110235222533411332
764662443130401600
oct6256130713406050
91066753426462822
10223075353103400
11650957a929aa26
12210295b8499b48
139761bb957a655
143d12c946c9c00
151abca7dbce7d5
hexcae2c72e0c28

223075353103400 has 144 divisors (see below), whose sum is σ = 629559422180640. Its totient is φ = 73157631254400.

The previous prime is 223075353103397. The next prime is 223075353103409. The reversal of 223075353103400 is 4301353570322.

It is a super-3 number, since 3×2230753531034003 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (223075353103409) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 494617886 + ... + 495068685.

It is an arithmetic number, because the mean of its divisors is an integer number (4371940431810).

Almost surely, 2223075353103400 is an apocalyptic number.

223075353103400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223075353103400 is an abundant number, since it is smaller than the sum of its proper divisors (406484069077240).

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

223075353103400 is a wasteful number, since it uses less digits than its factorization.

223075353103400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989686624 (or 989686608 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 38.

The spelling of 223075353103400 in words is "two hundred twenty-three trillion, seventy-five billion, three hundred fifty-three million, one hundred three thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 23 25 28 35 40 46 49 50 56 70 92 98 100 115 140 161 175 184 196 200 230 245 280 322 350 392 460 490 575 644 700 805 920 980 1127 1150 1225 1288 1400 1610 1960 2254 2300 2450 3220 4025 4508 4600 4900 5635 6440 8050 9016 9800 11270 16100 22540 28175 32200 45080 56350 112700 225400 989686571 1979373142 3958746284 4948432855 6927805997 7917492568 9896865710 13855611994 19793731420 22762791133 24742164275 27711223988 34639029985 39587462840 45525582266 48494641979 49484328550 55422447976 69278059970 91051164532 96989283958 98968657100 113813955665 138556119940 159339537931 173195149925 182102329064 193978567916 197937314200 227627911330 242473209895 277112239880 318679075862 346390299850 387957135832 455255822660 484946419790 569069778325 637358151724 692780599700 796697689655 910511645320 969892839580 1115376765517 1138139556650 1212366049475 1274716303448 1385561199400 1593395379310 1939785679160 2230753531034 2276279113300 2424732098950 3186790758620 3983488448275 4461507062068 4552558226600 4849464197900 5576883827585 6373581517240 7966976896550 8923014124136 9698928395800 11153767655170 15933953793100 22307535310340 27884419137925 31867907586200 44615070620680 55768838275850 111537676551700 223075353103400