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223464319330729 = 412149224472
BaseRepresentation
bin110010110011110101010111…
…010111111010100110101001
31002022012222110122002202021111
4302303311113113322212221
5213242214411222040404
62111134031401510321
765032523102646301
oct6263652727724651
91068188418082244
10223464319330729
116522575a617634
1221090a704a23a1
13978c796c98109
143d27a3330a601
151ac7c46ab7104
hexcb3d575fa9a9

223464319330729 has 27 divisors (see below), whose sum is σ = 230689427538661. Its totient is φ = 216462292631360.

The previous prime is 223464319330717. The next prime is 223464319330787. The reversal of 223464319330729 is 927033913464322.

The square root of 223464319330729 is 14948723.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 158257079320729 + 65207240010000 = 12580027^2 + 8075100^2 .

It is not a de Polignac number, because 223464319330729 - 27 = 223464319330601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (223464319330709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 91321747584 + ... + 91321750030.

Almost surely, 2223464319330729 is an apocalyptic number.

223464319330729 is the 14948723-rd square number.

223464319330729 is the 7474362-nd centered octagonal number.

It is an amenable number.

223464319330729 is a deficient number, since it is larger than the sum of its proper divisors (7225108207932).

223464319330729 is an frugal number, since it uses more digits than its factorization.

223464319330729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5274 (or 2637 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 58.

The spelling of 223464319330729 in words is "two hundred twenty-three trillion, four hundred sixty-four billion, three hundred nineteen million, three hundred thirty thousand, seven hundred twenty-nine".

Divisors: 1 41 149 1681 2447 6109 22201 100327 250469 364603 910241 4113407 5987809 14948723 37319881 54325847 245500169 612897643 892183541 2227359727 10065506929 36579525181 91321748807 132935347609 1499760532421 5450349251969 223464319330729