Search a number
-
+
12216200 = 2352173593
BaseRepresentation
bin101110100110…
…011110001000
3211222122110212
4232212132020
511111404300
61113500252
7205556513
oct56463610
924878425
1012216200
116994237
124111688
1326b9529
14189dd7a
151114935
hexba6788

12216200 has 48 divisors (see below), whose sum is σ = 30081780. Its totient is φ = 4597760.

The previous prime is 12216199. The next prime is 12216203. The reversal of 12216200 is 261221.

12216200 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 6 ways, for example, as 5044516 + 7171684 = 2246^2 + 2678^2 .

It is not an unprimeable number, because it can be changed into a prime (12216203) 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, 1604 + ... + 5196.

Almost surely, 212216200 is an apocalyptic number.

12216200 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 12216200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15040890).

12216200 is an abundant number, since it is smaller than the sum of its proper divisors (17865580).

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

12216200 is a wasteful number, since it uses less digits than its factorization.

12216200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3626 (or 3617 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 12216200 is about 3495.1680932396. The cubic root of 12216200 is about 230.3096019628.

Adding to 12216200 its reverse (261221), we get a palindrome (12477421).

The spelling of 12216200 in words is "twelve million, two hundred sixteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 3400 3593 7186 14372 17965 28744 35930 61081 71860 89825 122162 143720 179650 244324 305405 359300 488648 610810 718600 1221620 1527025 2443240 3054050 6108100 12216200