Base | Representation |
---|---|
bin | 11010101000101… |
… | …00111011010000 |
3 | 120120102112122002 |
4 | 31110110323100 |
5 | 424144314100 |
6 | 34100533132 |
7 | 5352100262 |
oct | 1524247320 |
9 | 516375562 |
10 | 223432400 |
11 | 105138084 |
12 | 629b11a8 |
13 | 3739cb29 |
14 | 21961b32 |
15 | 149372d5 |
hex | d514ed0 |
223432400 has 60 divisors (see below), whose sum is σ = 565068000. Its totient is φ = 84666240.
The previous prime is 223432369. The next prime is 223432403. The reversal of 223432400 is 4234322.
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 (223432403) 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 11 ways as a sum of consecutive naturals, for example, 7100 + ... + 22299.
It is an arithmetic number, because the mean of its divisors is an integer number (9417800).
Almost surely, 2223432400 is an apocalyptic number.
223432400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
223432400 is an abundant number, since it is smaller than the sum of its proper divisors (341635600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223432400 is a wasteful number, since it uses less digits than its factorization.
223432400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 29436 (or 29425 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 20.
The square root of 223432400 is about 14947.6553345332. The cubic root of 223432400 is about 606.8043938535.
Adding to 223432400 its reverse (4234322), we get a palindrome (227666722).
The spelling of 223432400 in words is "two hundred twenty-three million, four hundred thirty-two thousand, four hundred".
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