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223256027325100 = 225271143966046217
BaseRepresentation
bin110010110000110011011000…
…001100111110001010101100
31002021111001211101221112110111
4302300303120030332022230
5213230311320443400400
62110454223021145404
765011500324056620
oct6260633014761254
91067431741845414
10223256027325100
1165155393174920
122105861b9bb264
139775c50aa6a43
143d1b913c6d180
151ac26056b73ba
hexcb0cd833e2ac

223256027325100 has 144 divisors (see below), whose sum is σ = 605384917885440. Its totient is φ = 69427782259200.

The previous prime is 223256027325059. The next prime is 223256027325101. The reversal of 223256027325100 is 1523720652322.

It is a super-3 number, since 3×2232560273251003 (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 (223256027325101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29642809 + ... + 36403408.

It is an arithmetic number, because the mean of its divisors is an integer number (4204061929760).

Almost surely, 2223256027325100 is an apocalyptic number.

223256027325100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223256027325100 is an abundant number, since it is smaller than the sum of its proper divisors (382128890560340).

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

223256027325100 is a wasteful number, since it uses less digits than its factorization.

223256027325100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66046688 (or 66046681 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 40.

Adding to 223256027325100 its reverse (1523720652322), we get a palindrome (224779747977422).

The spelling of 223256027325100 in words is "two hundred twenty-three trillion, two hundred fifty-six billion, twenty-seven million, three hundred twenty-five thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 439 550 700 770 878 1100 1540 1756 1925 2195 3073 3850 4390 4829 6146 7700 8780 9658 10975 12292 15365 19316 21950 24145 30730 33803 43900 48290 61460 67606 76825 96580 120725 135212 153650 169015 241450 307300 338030 482900 676060 845075 1690150 3380300 66046217 132092434 264184868 330231085 462323519 660462170 726508387 924647038 1320924340 1453016774 1651155425 1849294076 2311617595 2906033548 3302310850 3632541935 4623235190 5085558709 6604621700 7265083870 9246470380 10171117418 11558087975 14530167740 18162709675 20342234836 23116175950 25427793545 28994289263 36325419350 46232351900 50855587090 57988578526 72650838700 101711174180 115977157052 127138967725 144971446315 202960024841 254277935450 289942892630 318937181893 405920049682 508555870900 579885785260 637874363786 724857231575 811840099364 1014800124205 1275748727572 1449714463150 1594685909465 2029600248410 2232560273251 2899428926300 3189371818930 4059200496820 4465120546502 5074000621025 6378743637860 7973429547325 8930241093004 10148001242050 11162801366255 15946859094650 20296002484100 22325602732510 31893718189300 44651205465020 55814006831275 111628013662550 223256027325100