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223256027325144 = 23311845666770171
BaseRepresentation
bin110010110000110011011000…
…001100111110001011011000
31002021111001211101221112112010
4302300303120030332023120
5213230311320443401034
62110454223021145520
765011500324060012
oct6260633014761330
91067431741845463
10223256027325144
1165155393174960
122105861b9bb2a0
139775c50aa6a78
143d1b913c6d1b2
151ac26056b73e9
hexcb0cd833e2d8

223256027325144 has 32 divisors (see below), whose sum is σ = 608880074523840. Its totient is φ = 67653341613600.

The previous prime is 223256027325101. The next prime is 223256027325173. The reversal of 223256027325144 is 441523720652322.

It is a super-3 number, since 3×2232560273251443 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223256027325093 and 223256027325102.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 422833384822 + ... + 422833385349.

It is an arithmetic number, because the mean of its divisors is an integer number (19027502328870).

Almost surely, 2223256027325144 is an apocalyptic number.

223256027325144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

223256027325144 is an abundant number, since it is smaller than the sum of its proper divisors (385624047198696).

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

223256027325144 is a wasteful number, since it uses less digits than its factorization.

223256027325144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845666770191 (or 845666770187 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 48.

Adding to 223256027325144 its reverse (441523720652322), we get a palindrome (664779747977466).

The spelling of 223256027325144 in words is "two hundred twenty-three trillion, two hundred fifty-six billion, twenty-seven million, three hundred twenty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 845666770171 1691333540342 2537000310513 3382667080684 5074000621026 6765334161368 9302334471881 10148001242052 18604668943762 20296002484104 27907003415643 37209337887524 55814006831286 74418675775048 111628013662572 223256027325144