Search a number
-
+
11227714650 = 23252196532011
BaseRepresentation
bin10100111010011100…
…10101010001011010
31001222110221000000100
422131032111101122
5140443243332100
65054040520230
7545142666645
oct123516252132
931873830010
1011227714650
114841830219
122214180076
13109c166649
14787228a5c
1545aa70400
hex29d39545a

11227714650 has 144 divisors (see below), whose sum is σ = 31817204640. Its totient is φ = 2830723200.

The previous prime is 11227714607. The next prime is 11227714697. The reversal of 11227714650 is 5641772211.

11227714650 is a `hidden beast` number, since 1 + 122 + 7 + 71 + 465 + 0 = 666.

11227714650 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 5582145 + ... + 5584155.

It is an arithmetic number, because the mean of its divisors is an integer number (220952810).

Almost surely, 211227714650 is an apocalyptic number.

11227714650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11227714650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15908602320).

11227714650 is an abundant number, since it is smaller than the sum of its proper divisors (20589489990).

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

11227714650 is a wasteful number, since it uses less digits than its factorization.

11227714650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2701 (or 2693 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 11227714650 in words is "eleven billion, two hundred twenty-seven million, seven hundred fourteen thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 30 38 45 50 57 75 90 95 114 150 171 190 225 285 342 450 475 570 653 855 950 1306 1425 1710 1959 2011 2850 3265 3918 4022 4275 5877 6033 6530 8550 9795 10055 11754 12066 12407 16325 18099 19590 20110 24814 29385 30165 32650 36198 37221 38209 48975 50275 58770 60330 62035 74442 76418 90495 97950 100550 111663 114627 124070 146925 150825 180990 186105 191045 223326 229254 293850 301650 310175 343881 372210 382090 452475 558315 573135 620350 687762 904950 930525 955225 1116630 1146270 1313183 1719405 1861050 1910450 2626366 2791575 2865675 3438810 3939549 5583150 5731350 6565915 7879098 8597025 11818647 13131830 17194050 19697745 23637294 24950477 32829575 39395490 49900954 59093235 65659150 74851431 98488725 118186470 124752385 149702862 196977450 224554293 249504770 295466175 374257155 449108586 590932350 623761925 748514310 1122771465 1247523850 1871285775 2245542930 3742571550 5613857325 11227714650