Base | Representation |
---|---|
bin | 1000011001011… |
… | …1011101101000 |
3 | 2110021112102101 |
4 | 2012113131220 |
5 | 33004122100 |
6 | 3254543144 |
7 | 605252062 |
oct | 206273550 |
9 | 73245371 |
10 | 35223400 |
11 | 18978953 |
12 | b967ab4 |
13 | 73b3664 |
14 | 496c732 |
15 | 315b86a |
hex | 2197768 |
35223400 has 48 divisors (see below), whose sum is σ = 84732300. Its totient is φ = 13601280.
The previous prime is 35223389. The next prime is 35223427. The reversal of 35223400 is 432253.
35223400 is digitally balanced in base 2, 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 6 ways, for example, as 21399876 + 13823524 = 4626^2 + 3718^2 .
It is a super-4 number, since 4×352234004 (a number of 31 digits) contains 4444 as substring.
It is an unprimeable number.
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, 2764 + ... + 8836.
Almost surely, 235223400 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 35223400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42366150).
35223400 is an abundant number, since it is smaller than the sum of its proper divisors (49508900).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
35223400 is a wasteful number, since it uses less digits than its factorization.
35223400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6118 (or 6109 counting only the distinct ones).
The product of its (nonzero) digits is 720, while the sum is 19.
The square root of 35223400 is about 5934.9304966444. The cubic root of 35223400 is about 327.8011138120.
Adding to 35223400 its reverse (432253), we get a palindrome (35655653).
The spelling of 35223400 in words is "thirty-five million, two hundred twenty-three thousand, four hundred".
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