Search a number
-
+
12224557620 = 22325118969371
BaseRepresentation
bin10110110001010001…
…11111001000110100
31011112221122212111100
423120220333020310
5200013441320440
65341010410100
7611636011452
oct133050771064
934487585440
1012224557620
115203498090
122451b90930
1311ca839862
1483d7939d2
154b832b230
hex2d8a3f234

12224557620 has 144 divisors (see below), whose sum is σ = 40907280960. Its totient is φ = 2930188800.

The previous prime is 12224557571. The next prime is 12224557621. The reversal of 12224557620 is 2675542221.

12224557620 is a `hidden beast` number, since 1 + 2 + 2 + 24 + 5 + 5 + 7 + 620 = 666.

12224557620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12224557621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141535 + ... + 210905.

It is an arithmetic number, because the mean of its divisors is an integer number (284078340).

Almost surely, 212224557620 is an apocalyptic number.

12224557620 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 12224557620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20453640480).

12224557620 is an abundant number, since it is smaller than the sum of its proper divisors (28682723340).

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

12224557620 is a wasteful number, since it uses less digits than its factorization.

12224557620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69486 (or 69481 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 12224557620 in words is "twelve billion, two hundred twenty-four million, five hundred fifty-seven thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 89 90 99 110 132 165 178 180 198 220 267 330 356 396 445 495 534 660 801 890 979 990 1068 1335 1602 1780 1958 1980 2670 2937 3204 3916 4005 4895 5340 5874 8010 8811 9790 11748 14685 16020 17622 19580 29370 35244 44055 58740 69371 88110 138742 176220 208113 277484 346855 416226 624339 693710 763081 832452 1040565 1248678 1387420 1526162 2081130 2289243 2497356 3052324 3121695 3815405 4162260 4578486 6174019 6243390 6867729 7630810 9156972 11446215 12348038 12486780 13735458 15261620 18522057 22892430 24696076 27470916 30870095 34338645 37044114 45784860 55566171 61740190 67914209 68677290 74088228 92610285 111132342 123480380 135828418 137354580 185220570 203742627 222264684 271656836 277830855 339571045 370441140 407485254 555661710 611227881 679142090 814970508 1018713135 1111323420 1222455762 1358284180 2037426270 2444911524 3056139405 4074852540 6112278810 12224557620