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12234300 = 22352133137
BaseRepresentation
bin101110101010…
…111000111100
3212000120022020
4232222320330
511112444200
61114120140
7205663341
oct56527074
925016266
1012234300
1169a68a1
124120050
1326c4840
1418a67c8
151119ea0
hexbaae3c

12234300 has 72 divisors (see below), whose sum is σ = 38132976. Its totient is φ = 3010560.

The previous prime is 12234281. The next prime is 12234301. The reversal of 12234300 is 343221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12234300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12234301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2332 + ... + 5468.

Almost surely, 212234300 is an apocalyptic number.

12234300 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 12234300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19066488).

12234300 is an abundant number, since it is smaller than the sum of its proper divisors (25898676).

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

12234300 is a wasteful number, since it uses less digits than its factorization.

12234300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3167 (or 3160 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 12234300 is about 3497.7564237665. The cubic root of 12234300 is about 230.4232910723.

Adding to 12234300 its reverse (343221), we get a palindrome (12577521).

The spelling of 12234300 in words is "twelve million, two hundred thirty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3137 3900 6274 9411 12548 15685 18822 31370 37644 40781 47055 62740 78425 81562 94110 122343 156850 163124 188220 203905 235275 244686 313700 407810 470550 489372 611715 815620 941100 1019525 1223430 2039050 2446860 3058575 4078100 6117150 12234300