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12213320 = 235753823
BaseRepresentation
bin101110100101…
…110001001000
3211222111112012
4232211301020
511111311240
61113435052
7205545230
oct56456110
924874465
1012213320
116992059
12410ba88
1326b8122
14189ccc0
151113b65
hexba5c48

12213320 has 64 divisors (see below), whose sum is σ = 32037120. Its totient is φ = 4103424.

The previous prime is 12213319. The next prime is 12213329. The reversal of 12213320 is 2331221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 12213295 and 12213304.

It is not an unprimeable number, because it can be changed into a prime (12213329) by changing a digit.

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, 14429 + ... + 15251.

It is an arithmetic number, because the mean of its divisors is an integer number (500580).

Almost surely, 212213320 is an apocalyptic number.

12213320 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 12213320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16018560).

12213320 is an abundant number, since it is smaller than the sum of its proper divisors (19823800).

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

12213320 is a wasteful number, since it uses less digits than its factorization.

12213320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 12213320 is about 3494.7560716021. The cubic root of 12213320 is about 230.2915018502.

Adding to 12213320 its reverse (2331221), we get a palindrome (14544541).

The spelling of 12213320 in words is "twelve million, two hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 53 56 70 106 140 212 265 280 371 424 530 742 823 1060 1484 1646 1855 2120 2968 3292 3710 4115 5761 6584 7420 8230 11522 14840 16460 23044 28805 32920 43619 46088 57610 87238 115220 174476 218095 230440 305333 348952 436190 610666 872380 1221332 1526665 1744760 2442664 3053330 6106660 12213320