Base | Representation |
---|---|
bin | 101110101000… |
… | …001111100100 |
3 | 212000000102202 |
4 | 232220033210 |
5 | 11112122320 |
6 | 1113554032 |
7 | 205616624 |
oct | 56501744 |
9 | 25000382 |
10 | 12223460 |
11 | 6999737 |
12 | 4115918 |
13 | 26bc922 |
14 | 18a2884 |
15 | 1116b75 |
hex | ba83e4 |
12223460 has 36 divisors (see below), whose sum is σ = 27107388. Its totient is φ = 4629312.
The previous prime is 12223457. The next prime is 12223469. The reversal of 12223460 is 6432221.
12223460 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 2 ways, for example, as 4528384 + 7695076 = 2128^2 + 2774^2 .
It is a Harshad number since it is a multiple of its sum of digits (20).
It is not an unprimeable number, because it can be changed into a prime (12223469) 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, 6374 + ... + 8066.
It is an arithmetic number, because the mean of its divisors is an integer number (752983).
Almost surely, 212223460 is an apocalyptic number.
12223460 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 12223460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13553694).
12223460 is an abundant number, since it is smaller than the sum of its proper divisors (14883928).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12223460 is a wasteful number, since it uses less digits than its factorization.
12223460 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1740 (or 1719 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 20.
The square root of 12223460 is about 3496.2065156395. The cubic root of 12223460 is about 230.3552167091.
Adding to 12223460 its reverse (6432221), we get a palindrome (18655681).
The spelling of 12223460 in words is "twelve million, two hundred twenty-three thousand, four hundred sixty".
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