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223104431304 = 23323098672657
BaseRepresentation
bin1100111111001000001…
…1110111010011001000
3210022212112100101220100
43033302003313103020
512123404213300204
6250254234125400
722055510243016
oct3176203672310
9708775311810
10223104431304
11866886a9427
12372a5280860
1318066c13ac1
14ab267d58b6
155c0ba11a39
hex33f20f74c8

223104431304 has 24 divisors (see below), whose sum is σ = 604241168310. Its totient is φ = 74368143744.

The previous prime is 223104431269. The next prime is 223104431399. The reversal of 223104431304 is 403134401322.

223104431304 is a `hidden beast` number, since 2 + 2 + 310 + 4 + 43 + 1 + 304 = 666.

223104431304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 162933322500 + 60171108804 = 403650^2 + 245298^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×2231044313043 (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1549336257 + ... + 1549336400.

Almost surely, 2223104431304 is an apocalyptic number.

223104431304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

223104431304 is an abundant number, since it is smaller than the sum of its proper divisors (381136737006).

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

223104431304 is a wasteful number, since it uses less digits than its factorization.

223104431304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3098672669 (or 3098672662 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 223104431304 its reverse (403134401322), we get a palindrome (626238832626).

The spelling of 223104431304 in words is "two hundred twenty-three billion, one hundred four million, four hundred thirty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3098672657 6197345314 9296017971 12394690628 18592035942 24789381256 27888053913 37184071884 55776107826 74368143768 111552215652 223104431304