Base | Representation |
---|---|
bin | 11010101000100… |
… | …00001110010100 |
3 | 120120101120012202 |
4 | 31110100032110 |
5 | 424143210030 |
6 | 34100304032 |
7 | 5351660156 |
oct | 1524201624 |
9 | 516346182 |
10 | 223413140 |
11 | 105124665 |
12 | 629a2018 |
13 | 37394132 |
14 | 21958ad6 |
15 | 14931745 |
hex | d510394 |
223413140 has 48 divisors (see below), whose sum is σ = 477141840. Its totient is φ = 87859200.
The previous prime is 223413131. The next prime is 223413143. The reversal of 223413140 is 41314322.
223413140 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 8 ways, for example, as 13337104 + 210076036 = 3652^2 + 14494^2 .
It is a super-2 number, since 2×2234131402 = 99826862249319200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (223413143) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 556940 + ... + 557340.
It is an arithmetic number, because the mean of its divisors is an integer number (9940455).
Almost surely, 2223413140 is an apocalyptic number.
223413140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
223413140 is an abundant number, since it is smaller than the sum of its proper divisors (253728700).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223413140 is a wasteful number, since it uses less digits than its factorization.
223413140 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 812 (or 810 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 20.
The square root of 223413140 is about 14947.0110724519. The cubic root of 223413140 is about 606.7869577245.
Adding to 223413140 its reverse (41314322), we get a palindrome (264727462).
The spelling of 223413140 in words is "two hundred twenty-three million, four hundred thirteen thousand, one hundred forty".
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