Base | Representation |
---|---|
bin | 101110100111… |
… | …010011010000 |
3 | 211222211010210 |
4 | 232213103100 |
5 | 11112011400 |
6 | 1113524120 |
7 | 205602441 |
oct | 56472320 |
9 | 24884123 |
10 | 12219600 |
11 | 6996848 |
12 | 4113640 |
13 | 26bac43 |
14 | 18a12c8 |
15 | 1115950 |
hex | ba74d0 |
12219600 has 120 divisors (see below), whose sum is σ = 41515200. Its totient is φ = 3061760.
The previous prime is 12219593. The next prime is 12219619. The reversal of 12219600 is 691221.
Added to its reverse (691221) it gives a triangular number (12910821 = T5081).
12219600 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (120).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20101 + ... + 20699.
It is an arithmetic number, because the mean of its divisors is an integer number (345960).
Almost surely, 212219600 is an apocalyptic number.
12219600 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 12219600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20757600).
12219600 is an abundant number, since it is smaller than the sum of its proper divisors (29295600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12219600 is a wasteful number, since it uses less digits than its factorization.
12219600 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 637 (or 626 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 21.
The square root of 12219600 is about 3495.6544451647. The cubic root of 12219600 is about 230.3309664900.
Adding to 12219600 its reverse (691221), we get a triangular number (12910821 = T5081).
The spelling of 12219600 in words is "twelve million, two hundred nineteen thousand, six hundred".
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