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12234200 = 2352116783
BaseRepresentation
bin101110101010…
…110111011000
3212000120011112
4232222313120
511112443300
61114115452
7205663136
oct56526730
925016145
1012234200
1169a6810
12411bb88
1326c4794
1418a6756
151119e35
hexbaadd8

12234200 has 96 divisors (see below), whose sum is σ = 31872960. Its totient is φ = 4329600.

The previous prime is 12234197. The next prime is 12234217. The reversal of 12234200 is 243221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147359 + ... + 147441.

It is an arithmetic number, because the mean of its divisors is an integer number (332010).

Almost surely, 212234200 is an apocalyptic number.

12234200 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 12234200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15936480).

12234200 is an abundant number, since it is smaller than the sum of its proper divisors (19638760).

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

12234200 is a wasteful number, since it uses less digits than its factorization.

12234200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 12234200 is about 3497.7421288597. The cubic root of 12234200 is about 230.4226632638.

Adding to 12234200 its reverse (243221), we get a palindrome (12477421).

The spelling of 12234200 in words is "twelve million, two hundred thirty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 67 83 88 100 110 134 166 200 220 268 275 332 335 415 440 536 550 664 670 737 830 913 1100 1340 1474 1660 1675 1826 2075 2200 2680 2948 3320 3350 3652 3685 4150 4565 5561 5896 6700 7304 7370 8300 9130 11122 13400 14740 16600 18260 18425 22244 22825 27805 29480 36520 36850 44488 45650 55610 61171 73700 91300 111220 122342 139025 147400 182600 222440 244684 278050 305855 489368 556100 611710 1112200 1223420 1529275 2446840 3058550 6117100 12234200