Base | Representation |
---|---|
bin | 1101000000001111000… |
… | …0000100101101001000 |
3 | 210100122012211111121001 |
4 | 3100003300010231020 |
5 | 12130011203430344 |
6 | 250343515424344 |
7 | 22066043102521 |
oct | 3200360045510 |
9 | 710565744531 |
10 | 223401233224 |
11 | 86820199074 |
12 | 373687550b4 |
13 | 180b3562040 |
14 | ab53db5848 |
15 | 5c27adced4 |
hex | 3403c04b48 |
223401233224 has 64 divisors (see below), whose sum is σ = 464775116400. Its totient is φ = 100025942016.
The previous prime is 223401233203. The next prime is 223401233227. The reversal of 223401233224 is 422332104322.
It can be written as a sum of positive squares in 8 ways, for example, as 62345096100 + 161056137124 = 249690^2 + 401318^2 .
It is a super-2 number, since 2×2234012332242 (a number of 23 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 223401233192 and 223401233201.
It is not an unprimeable number, because it can be changed into a prime (223401233227) 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 15 ways as a sum of consecutive naturals, for example, 262872 + ... + 718264.
Almost surely, 2223401233224 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 223401233224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232387558200).
223401233224 is an abundant number, since it is smaller than the sum of its proper divisors (241373883176).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223401233224 is a wasteful number, since it uses less digits than its factorization.
223401233224 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 455554 (or 455550 counting only the distinct ones).
The product of its (nonzero) digits is 13824, while the sum is 28.
Adding to 223401233224 its reverse (422332104322), we get a palindrome (645733337546).
The spelling of 223401233224 in words is "two hundred twenty-three billion, four hundred one million, two hundred thirty-three thousand, two hundred twenty-four".
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