Search a number
-
+
12302220 = 22357171723
BaseRepresentation
bin101110111011…
…011110001100
3212011000110210
4232323132030
511122132340
61115402420
7206365350
oct56733614
925130423
1012302220
116a42927
124153410
132719728
1418c3460
151130180
hexbbb78c

12302220 has 96 divisors (see below), whose sum is σ = 41707008. Its totient is φ = 2644992.

The previous prime is 12302209. The next prime is 12302221. The reversal of 12302220 is 2220321.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12302196 and 12302205.

It is not an unprimeable number, because it can be changed into a prime (12302221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6279 + ... + 8001.

It is an arithmetic number, because the mean of its divisors is an integer number (434448).

Almost surely, 212302220 is an apocalyptic number.

12302220 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 12302220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20853504).

12302220 is an abundant number, since it is smaller than the sum of its proper divisors (29404788).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12302220 is a wasteful number, since it uses less digits than its factorization.

12302220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1759 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 12302220 is about 3507.4520666718. The cubic root of 12302220 is about 230.8489107755.

Adding to 12302220 its reverse (2220321), we get a palindrome (14522541).

The spelling of 12302220 in words is "twelve million, three hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 28 30 34 35 42 51 60 68 70 84 85 102 105 119 140 170 204 210 238 255 340 357 420 476 510 595 714 1020 1190 1428 1723 1785 2380 3446 3570 5169 6892 7140 8615 10338 12061 17230 20676 24122 25845 29291 34460 36183 48244 51690 58582 60305 72366 87873 103380 117164 120610 144732 146455 175746 180915 205037 241220 292910 351492 361830 410074 439365 585820 615111 723660 820148 878730 1025185 1230222 1757460 2050370 2460444 3075555 4100740 6151110 12302220