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12200320 = 275111733
BaseRepresentation
bin101110100010…
…100110000000
3211221211200201
4232202212000
511110402240
61113254544
7205462306
oct56424600
924854621
1012200320
116983310
124104454
1326b2232
141898276
15110ed9a
hexba2980

12200320 has 64 divisors (see below), whose sum is σ = 31836240. Its totient is φ = 4433920.

The previous prime is 12200303. The next prime is 12200323. The reversal of 12200320 is 2300221.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 12200297 and 12200306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12200323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6174 + ... + 7906.

Almost surely, 212200320 is an apocalyptic number.

12200320 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 12200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15918120).

12200320 is an abundant number, since it is smaller than the sum of its proper divisors (19635920).

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

12200320 is a wasteful number, since it uses less digits than its factorization.

12200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1763 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 12200320 is about 3492.8956468810. The cubic root of 12200320 is about 230.2097645241.

Adding to 12200320 its reverse (2300221), we get a palindrome (14500541).

Subtracting from 12200320 its reverse (2300221), we obtain a palindrome (9900099).

The spelling of 12200320 in words is "twelve million, two hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1733 1760 3466 3520 6932 7040 8665 13864 17330 19063 27728 34660 38126 55456 69320 76252 95315 110912 138640 152504 190630 221824 277280 305008 381260 554560 610016 762520 1109120 1220032 1525040 2440064 3050080 6100160 12200320