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12200286 = 237793677
BaseRepresentation
bin101110100010…
…100101011110
3211221211122110
4232202211132
511110402121
61113254450
7205462230
oct56424536
924854573
1012200286
11698328a
124104426
1326b2207
141898250
15110ed76
hexba295e

12200286 has 32 divisors (see below), whose sum is σ = 28247040. Its totient is φ = 3440736.

The previous prime is 12200263. The next prime is 12200291. The reversal of 12200286 is 68200221.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1480 + ... + 5156.

It is an arithmetic number, because the mean of its divisors is an integer number (882720).

Almost surely, 212200286 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12200286, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14123520).

12200286 is an abundant number, since it is smaller than the sum of its proper divisors (16046754).

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

12200286 is a wasteful number, since it uses less digits than its factorization.

12200286 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3768.

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 12200286 is about 3492.8907798556. The cubic root of 12200286 is about 230.2095506734.

The spelling of 12200286 in words is "twelve million, two hundred thousand, two hundred eighty-six".

Divisors: 1 2 3 6 7 14 21 42 79 158 237 474 553 1106 1659 3318 3677 7354 11031 22062 25739 51478 77217 154434 290483 580966 871449 1742898 2033381 4066762 6100143 12200286