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223241120 = 2558391663
BaseRepresentation
bin11010100111001…
…10001110100000
3120120001211020122
431103212032200
5424122203440
634052455412
75350342514
oct1523461640
9516054218
10223241120
111050173a3
126291a568
1337333a4b
1421912144
15148ea7b5
hexd4e63a0

223241120 has 48 divisors (see below), whose sum is σ = 528353280. Its totient is φ = 89136384.

The previous prime is 223241113. The next prime is 223241129. The reversal of 223241120 is 21142322.

223241120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2232411203 (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (223241129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133409 + ... + 135071.

It is an arithmetic number, because the mean of its divisors is an integer number (11007360).

Almost surely, 2223241120 is an apocalyptic number.

223241120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223241120 is an abundant number, since it is smaller than the sum of its proper divisors (305112160).

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

223241120 is a wasteful number, since it uses less digits than its factorization.

223241120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2517 (or 2509 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 223241120 is about 14941.2556366592. The cubic root of 223241120 is about 606.6311831009.

Adding to 223241120 its reverse (21142322), we get a palindrome (244383442).

The spelling of 223241120 in words is "two hundred twenty-three million, two hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 839 1663 1678 3326 3356 4195 6652 6712 8315 8390 13304 13424 16630 16780 26608 26848 33260 33560 53216 66520 67120 133040 134240 266080 1395257 2790514 5581028 6976285 11162056 13952570 22324112 27905140 44648224 55810280 111620560 223241120