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12213138 = 2372347269
BaseRepresentation
bin101110100101…
…101110010010
3211222111021110
4232211232102
511111310023
61113434150
7205544550
oct56455622
924874243
1012213138
116991a03
12410b956
1326b8012
14189cbd0
151113a93
hexba5b92

12213138 has 64 divisors (see below), whose sum is σ = 29859840. Its totient is φ = 3254592.

The previous prime is 12213137. The next prime is 12213167. The reversal of 12213138 is 83131221.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12213137) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 45268 + ... + 45536.

It is an arithmetic number, because the mean of its divisors is an integer number (466560).

Almost surely, 212213138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12213138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14929920).

12213138 is an abundant number, since it is smaller than the sum of its proper divisors (17646702).

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

12213138 is a wasteful number, since it uses less digits than its factorization.

12213138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351.

The product of its digits is 288, while the sum is 21.

The square root of 12213138 is about 3494.7300324918. The cubic root of 12213138 is about 230.2903579281.

Adding to 12213138 its reverse (83131221), we get a palindrome (95344359).

The spelling of 12213138 in words is "twelve million, two hundred thirteen thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 14 21 23 42 46 47 69 94 138 141 161 269 282 322 329 483 538 658 807 966 987 1081 1614 1883 1974 2162 3243 3766 5649 6187 6486 7567 11298 12374 12643 15134 18561 22701 25286 37122 37929 43309 45402 75858 86618 88501 129927 177002 259854 265503 290789 531006 581578 872367 1744734 2035523 4071046 6106569 12213138