Base | Representation |
---|---|
bin | 101110100011… |
… | …010011000000 |
3 | 211221222122101 |
4 | 232203103000 |
5 | 11111000300 |
6 | 1113320144 |
7 | 205503562 |
oct | 56432300 |
9 | 24858571 |
10 | 12203200 |
11 | 6985499 |
12 | 4106054 |
13 | 26b3639 |
14 | 1899332 |
15 | 1110b6a |
hex | ba34c0 |
12203200 has 84 divisors (see below), whose sum is σ = 31181040. Its totient is φ = 4695040.
The previous prime is 12203183. The next prime is 12203203. The reversal of 12203200 is 230221.
It is a Harshad number since it is a multiple of its sum of digits (10).
It is not an unprimeable number, because it can be changed into a prime (12203203) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46269 + ... + 46531.
Almost surely, 212203200 is an apocalyptic number.
12203200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 12203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15590520).
12203200 is an abundant number, since it is smaller than the sum of its proper divisors (18977840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12203200 is a wasteful number, since it uses less digits than its factorization.
12203200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 314 (or 299 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 10.
The square root of 12203200 is about 3493.3078879480. The cubic root of 12203200 is about 230.2278774905.
Adding to 12203200 its reverse (230221), we get a palindrome (12433421).
It can be divided in two parts, 12203 and 200, that added together give a triangular number (12403 = T157).
The spelling of 12203200 in words is "twelve million, two hundred three thousand, two hundred".
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