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12092220 = 2233572457
BaseRepresentation
bin101110001000…
…001100111100
3211202100102000
4232020030330
511043422340
61111102300
7204532200
oct56101474
924670360
1012092220
11690a078
124071990
132674c7a
14186ab00
1510dcd30
hexb8833c

12092220 has 144 divisors (see below), whose sum is σ = 43858080. Its totient is φ = 2757888.

The previous prime is 12092209. The next prime is 12092221. The reversal of 12092220 is 2229021.

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

It is a junction number, because it is equal to n+sod(n) for n = 12092193 and 12092202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12092221) 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 47 ways as a sum of consecutive naturals, for example, 26232 + ... + 26688.

It is an arithmetic number, because the mean of its divisors is an integer number (304570).

Almost surely, 212092220 is an apocalyptic number.

12092220 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 12092220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21929040).

12092220 is an abundant number, since it is smaller than the sum of its proper divisors (31765860).

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

12092220 is a wasteful number, since it uses less digits than its factorization.

12092220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 12092220 is about 3477.3869499956. The cubic root of 12092220 is about 229.5278278017.

The spelling of 12092220 in words is "twelve million, ninety-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 49 54 60 63 70 84 90 98 105 108 126 135 140 147 180 189 196 210 245 252 270 294 315 378 420 441 457 490 540 588 630 735 756 882 914 945 980 1260 1323 1371 1470 1764 1828 1890 2205 2285 2646 2742 2940 3199 3780 4113 4410 4570 5292 5484 6398 6615 6855 8226 8820 9140 9597 12339 12796 13230 13710 15995 16452 19194 20565 22393 24678 26460 27420 28791 31990 38388 41130 44786 47985 49356 57582 61695 63980 67179 82260 86373 89572 95970 111965 115164 123390 134358 143955 172746 191940 201537 223930 246780 268716 287910 335895 345492 403074 431865 447860 575820 604611 671790 806148 863730 1007685 1209222 1343580 1727460 2015370 2418444 3023055 4030740 6046110 12092220