Search a number
-
+
12206300 = 2252373299
BaseRepresentation
bin101110100100…
…000011011100
3211222010220012
4232210003130
511111100200
61113342352
7205515611
oct56440334
924863805
1012206300
116987857
1241079b8
1326b4b82
14189a508
151111a35
hexba40dc

12206300 has 36 divisors (see below), whose sum is σ = 27211800. Its totient is φ = 4749120.

The previous prime is 12206291. The next prime is 12206309. The reversal of 12206300 is 360221.

It is an interprime number because it is at equal distance from previous prime (12206291) and next prime (12206309).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12206309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2051 + ... + 5349.

Almost surely, 212206300 is an apocalyptic number.

12206300 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 12206300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13605900).

12206300 is an abundant number, since it is smaller than the sum of its proper divisors (15005500).

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

12206300 is a wasteful number, since it uses less digits than its factorization.

12206300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3350 (or 3343 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 12206300 is about 3493.7515652948. The cubic root of 12206300 is about 230.2473709019.

Adding to 12206300 its reverse (360221), we get a palindrome (12566521).

The spelling of 12206300 in words is "twelve million, two hundred six thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 370 740 925 1850 3299 3700 6598 13196 16495 32990 65980 82475 122063 164950 244126 329900 488252 610315 1220630 2441260 3051575 6103150 12206300