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12200430 = 2351123361
BaseRepresentation
bin101110100010…
…100111101110
3211221211211210
4232202213232
511110403210
61113255250
7205462524
oct56424756
924854753
1012200430
116983400
124104526
1326b22b8
141898314
15110ee20
hexba29ee

12200430 has 48 divisors (see below), whose sum is σ = 32194512. Its totient is φ = 2956800.

The previous prime is 12200399. The next prime is 12200431. The reversal of 12200430 is 3400221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12200431) 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, 1950 + ... + 5310.

It is an arithmetic number, because the mean of its divisors is an integer number (670719).

Almost surely, 212200430 is an apocalyptic number.

12200430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12200430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16097256).

12200430 is an abundant number, since it is smaller than the sum of its proper divisors (19994082).

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

12200430 is a wasteful number, since it uses less digits than its factorization.

12200430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3393 (or 3382 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 12200430 is about 3492.9113930932. The cubic root of 12200430 is about 230.2104563911.

Adding to 12200430 its reverse (3400221), we get a palindrome (15600651).

The spelling of 12200430 in words is "twelve million, two hundred thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 242 330 363 605 726 1210 1815 3361 3630 6722 10083 16805 20166 33610 36971 50415 73942 100830 110913 184855 221826 369710 406681 554565 813362 1109130 1220043 2033405 2440086 4066810 6100215 12200430