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12227040 = 2532571213
BaseRepresentation
bin101110101001…
…000111100000
3212000012100100
4232221013200
511112231130
61114022400
7205633230
oct56510740
925005310
1012227040
1169a13a1
124117a00
1326c1447
1418a3cc0
151117c60
hexba91e0

12227040 has 144 divisors (see below), whose sum is σ = 47724768. Its totient is φ = 2792448.

The previous prime is 12227021. The next prime is 12227041. The reversal of 12227040 is 4072221.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12227041) 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 23 ways as a sum of consecutive naturals, for example, 9474 + ... + 10686.

It is an arithmetic number, because the mean of its divisors is an integer number (331422).

Almost surely, 212227040 is an apocalyptic number.

12227040 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 12227040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23862384).

12227040 is an abundant number, since it is smaller than the sum of its proper divisors (35497728).

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

12227040 is a wasteful number, since it uses less digits than its factorization.

12227040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 12227040 is about 3496.7184616437. The cubic root of 12227040 is about 230.3777032821.

Adding to 12227040 its reverse (4072221), we get a palindrome (16299261).

The spelling of 12227040 in words is "twelve million, two hundred twenty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1213 1260 1440 1680 2016 2426 2520 3360 3639 4852 5040 6065 7278 8491 9704 10080 10917 12130 14556 16982 18195 19408 21834 24260 25473 29112 33964 36390 38816 42455 43668 48520 50946 54585 58224 67928 72780 76419 84910 87336 97040 101892 109170 116448 127365 135856 145560 152838 169820 174672 194080 203784 218340 254730 271712 291120 305676 339640 349344 382095 407568 436680 509460 582240 611352 679280 764190 815136 873360 1018920 1222704 1358560 1528380 1746720 2037840 2445408 3056760 4075680 6113520 12227040