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12213180 = 223557359
BaseRepresentation
bin101110100101…
…101110111100
3211222111100000
4232211232330
511111310210
61113434300
7205544640
oct56455674
924874300
1012213180
116991a41
12410b990
1326b8045
14189cc20
151113ac0
hexba5bbc

12213180 has 144 divisors (see below), whose sum is σ = 44029440. Its totient is φ = 2783808.

The previous prime is 12213169. The next prime is 12213193. The reversal of 12213180 is 8131221.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33841 + ... + 34199.

It is an arithmetic number, because the mean of its divisors is an integer number (305760).

Almost surely, 212213180 is an apocalyptic number.

12213180 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 12213180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22014720).

12213180 is an abundant number, since it is smaller than the sum of its proper divisors (31816260).

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

12213180 is a wasteful number, since it uses less digits than its factorization.

12213180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 12213180 is about 3494.7360415345. The cubic root of 12213180 is about 230.2906219111.

The spelling of 12213180 in words is "twelve million, two hundred thirteen thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 243 252 270 315 324 359 378 405 420 486 540 567 630 718 756 810 945 972 1077 1134 1215 1260 1436 1620 1701 1795 1890 2154 2268 2430 2513 2835 3231 3402 3590 3780 4308 4860 5026 5385 5670 6462 6804 7180 7539 8505 9693 10052 10770 11340 12565 12924 15078 16155 17010 19386 21540 22617 25130 29079 30156 32310 34020 37695 38772 45234 48465 50260 58158 64620 67851 75390 87237 90468 96930 113085 116316 135702 145395 150780 174474 193860 203553 226170 271404 290790 339255 348948 407106 436185 452340 581580 610659 678510 814212 872370 1017765 1221318 1357020 1744740 2035530 2442636 3053295 4071060 6106590 12213180