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12342200 = 23521347101
BaseRepresentation
bin101111000101…
…001110111000
3212020001022112
4233011032320
511124422300
61120311452
7206623043
oct57051670
925201275
1012342200
116a6a972
124172588
1327319a0
1418d3c5a
15113be35
hexbc53b8

12342200 has 96 divisors (see below), whose sum is σ = 31872960. Its totient is φ = 4416000.

The previous prime is 12342167. The next prime is 12342203. The reversal of 12342200 is 224321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12342203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122150 + ... + 122250.

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

Almost surely, 212342200 is an apocalyptic number.

12342200 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 12342200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15936480).

12342200 is an abundant number, since it is smaller than the sum of its proper divisors (19530760).

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

12342200 is a wasteful number, since it uses less digits than its factorization.

12342200 is an odious number, because the sum of its binary digits is odd.

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 12342200 is about 3513.1467376129. The cubic root of 12342200 is about 231.0987128320.

Adding to 12342200 its reverse (224321), we get a palindrome (12566521).

The spelling of 12342200 in words is "twelve million, three hundred forty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 47 50 52 65 94 100 101 104 130 188 200 202 235 260 325 376 404 470 505 520 611 650 808 940 1010 1175 1222 1300 1313 1880 2020 2350 2444 2525 2600 2626 3055 4040 4700 4747 4888 5050 5252 6110 6565 9400 9494 10100 10504 12220 13130 15275 18988 20200 23735 24440 26260 30550 32825 37976 47470 52520 61100 61711 65650 94940 118675 122200 123422 131300 189880 237350 246844 262600 308555 474700 493688 617110 949400 1234220 1542775 2468440 3085550 6171100 12342200