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1115227344 = 2437111915881
BaseRepresentation
bin100001001111001…
…0000010011010000
32212201111102022110
41002132100103100
54240444233334
6302355105320
736431163450
oct10236202320
92781442273
101115227344
115225758a0
122715a2240
1314a08294a
14a8183d60
1567d92ae9
hex427904d0

1115227344 has 160 divisors (see below), whose sum is σ = 3781186560. Its totient is φ = 274406400.

The previous prime is 1115227339. The next prime is 1115227357. The reversal of 1115227344 is 4437225111.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 62284 + ... + 78164.

It is an arithmetic number, because the mean of its divisors is an integer number (23632416).

Almost surely, 21115227344 is an apocalyptic number.

1115227344 is a gapful number since it is divisible by the number (14) 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 1115227344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1890593280).

1115227344 is an abundant number, since it is smaller than the sum of its proper divisors (2665959216).

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

1115227344 is a wasteful number, since it uses less digits than its factorization.

1115227344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15929 (or 15923 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 1115227344 is about 33395.0197484595. The cubic root of 1115227344 is about 1037.0216017473.

The spelling of 1115227344 in words is "one billion, one hundred fifteen million, two hundred twenty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 19 21 22 24 28 33 38 42 44 48 56 57 66 76 77 84 88 112 114 132 133 152 154 168 176 209 228 231 264 266 304 308 336 399 418 456 462 528 532 616 627 798 836 912 924 1064 1232 1254 1463 1596 1672 1848 2128 2508 2926 3192 3344 3696 4389 5016 5852 6384 8778 10032 11704 15881 17556 23408 31762 35112 47643 63524 70224 95286 111167 127048 174691 190572 222334 254096 301739 333501 349382 381144 444668 524073 603478 667002 698764 762288 889336 905217 1048146 1206956 1222837 1334004 1397528 1778672 1810434 2096292 2112173 2413912 2445674 2668008 2795056 3319129 3620868 3668511 4192584 4224346 4827824 4891348 5336016 6336519 6638258 7241736 7337022 8385168 8448692 9782696 9957387 12673038 13276516 14483472 14674044 16897384 19565392 19914774 23233903 25346076 26553032 29348088 33794768 39829548 46467806 50692152 53106064 58696176 69701709 79659096 92935612 101384304 139403418 159318192 185871224 278806836 371742448 557613672 1115227344