Search a number
-
+
11230200 = 23325217367
BaseRepresentation
bin101010110101…
…101111111000
3210010112221100
4222311233320
510333331300
61040411400
7164312052
oct52655770
923115840
1011230200
116380463
123916b60
1324327b7
1416c48d2
15ebc700
hexab5bf8

11230200 has 144 divisors (see below), whose sum is σ = 40042080. Its totient is φ = 2810880.

The previous prime is 11230199. The next prime is 11230201. The reversal of 11230200 is 203211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11230199) and next prime (11230201).

It is a super-2 number, since 2×112302002 = 252234784080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11230201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30417 + ... + 30783.

It is an arithmetic number, because the mean of its divisors is an integer number (278070).

Almost surely, 211230200 is an apocalyptic number.

11230200 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 11230200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20021040).

11230200 is an abundant number, since it is smaller than the sum of its proper divisors (28811880).

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

11230200 is a wasteful number, since it uses less digits than its factorization.

11230200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 11230200 is about 3351.1490566670. The cubic root of 11230200 is about 223.9387055931.

Adding to 11230200 its reverse (203211), we get a palindrome (11433411).

The spelling of 11230200 in words is "eleven million, two hundred thirty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 25 30 34 36 40 45 50 51 60 68 72 75 85 90 100 102 120 136 150 153 170 180 200 204 225 255 300 306 340 360 367 408 425 450 510 600 612 680 734 765 850 900 1020 1101 1224 1275 1468 1530 1700 1800 1835 2040 2202 2550 2936 3060 3303 3400 3670 3825 4404 5100 5505 6120 6239 6606 7340 7650 8808 9175 10200 11010 12478 13212 14680 15300 16515 18350 18717 22020 24956 26424 27525 30600 31195 33030 36700 37434 44040 49912 55050 56151 62390 66060 73400 74868 82575 93585 110100 112302 124780 132120 149736 155975 165150 187170 220200 224604 249560 280755 311950 330300 374340 449208 467925 561510 623900 660600 748680 935850 1123020 1247800 1403775 1871700 2246040 2807550 3743400 5615100 11230200