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223321114042344 = 233210133061877729
BaseRepresentation
bin110010110001101111111111…
…101011000101111111101000
31002021201021211102002100110200
4302301233333223011333220
5213232343120143323334
62110544145315312200
765016263251043013
oct6261577753057750
91067637742070420
10223321114042344
116517aa529a892a
12210691652ab660
13977c124335496
143d20b2a11837a
151ac41647a0799
hexcb1bffac5fe8

223321114042344 has 48 divisors (see below), whose sum is σ = 605425083552900. Its totient is φ = 74366886257664.

The previous prime is 223321114042339. The next prime is 223321114042349. The reversal of 223321114042344 is 443240411123322.

223321114042344 is a `hidden beast` number, since 2 + 2 + 3 + 3 + 2 + 1 + 11 + 404 + 234 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (223321114042339) and next prime (223321114042349).

It can be written as a sum of positive squares in 2 ways, for example, as 221955230978244 + 1365883064100 = 14898162^2 + 1168710^2 .

It is a super-2 number, since 2×2233211140423442 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 223321114042299 and 223321114042308.

It is not an unprimeable number, because it can be changed into a prime (223321114042349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1530865929 + ... + 1531011800.

Almost surely, 2223321114042344 is an apocalyptic number.

223321114042344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

223321114042344 is an abundant number, since it is smaller than the sum of its proper divisors (382103969510556).

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

223321114042344 is a wasteful number, since it uses less digits than its factorization.

223321114042344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3061878754 (or 3061878747 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 223321114042344 its reverse (443240411123322), we get a palindrome (666561525165666).

The spelling of 223321114042344 in words is "two hundred twenty-three trillion, three hundred twenty-one billion, one hundred fourteen million, forty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1013 2026 3039 4052 6078 8104 9117 12156 18234 24312 36468 72936 3061877729 6123755458 9185633187 12247510916 18371266374 24495021832 27556899561 36742532748 55113799122 73485065496 110227598244 220455196488 3101682139477 6203364278954 9305046418431 12406728557908 18610092836862 24813457115816 27915139255293 37220185673724 55830278510586 74440371347448 111660557021172 223321114042344