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12200214 = 2313712203
BaseRepresentation
bin101110100010…
…100100010110
3211221211112210
4232202210112
511110401324
61113254250
7205462065
oct56424426
924854483
1012200214
116983224
124104386
1326b2180
1418981dc
15110ed29
hexba2916

12200214 has 32 divisors (see below), whose sum is σ = 26659584. Its totient is φ = 3699360.

The previous prime is 12200179. The next prime is 12200239. The reversal of 12200214 is 41200221.

It is a self number, because there is not a number n which added to its sum of digits gives 12200214.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4437 + ... + 6639.

It is an arithmetic number, because the mean of its divisors is an integer number (833112).

Almost surely, 212200214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12200214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13329792).

12200214 is an abundant number, since it is smaller than the sum of its proper divisors (14459370).

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

12200214 is a wasteful number, since it uses less digits than its factorization.

12200214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2292.

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 12200214 is about 3492.8804731911. The cubic root of 12200214 is about 230.2090978119.

Adding to 12200214 its reverse (41200221), we get a palindrome (53400435).

The spelling of 12200214 in words is "twelve million, two hundred thousand, two hundred fourteen".

Divisors: 1 2 3 6 13 26 39 71 78 142 213 426 923 1846 2203 2769 4406 5538 6609 13218 28639 57278 85917 156413 171834 312826 469239 938478 2033369 4066738 6100107 12200214