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1115024220 = 22325171093343
BaseRepresentation
bin100001001110101…
…1110101101011100
32212201010002200100
41002131132231130
54240421233340
6302350501100
736426356322
oct10235365534
92781102610
101115024220
11522447222
12271504790
1314a01135b
14a812dd12
1567d52830
hex4275eb5c

1115024220 has 144 divisors (see below), whose sum is σ = 3615131520. Its totient is φ = 277198848.

The previous prime is 1115024201. The next prime is 1115024221. The reversal of 1115024220 is 224205111.

It is a super-2 number, since 2×11150242202 = 2486558022373216800, which contains 22 as substring.

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 = 1115024193 and 1115024202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1115024221) 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, 331869 + ... + 335211.

It is an arithmetic number, because the mean of its divisors is an integer number (25105080).

Almost surely, 21115024220 is an apocalyptic number.

1115024220 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 1115024220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1807565760).

1115024220 is an abundant number, since it is smaller than the sum of its proper divisors (2500107300).

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

1115024220 is a wasteful number, since it uses less digits than its factorization.

1115024220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3484 (or 3479 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1115024220 is about 33391.9783780476. The cubic root of 1115024220 is about 1036.9586379738.

Adding to 1115024220 its reverse (224205111), we get a palindrome (1339229331).

The spelling of 1115024220 in words is "one billion, one hundred fifteen million, twenty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 109 153 170 180 204 218 255 306 327 340 436 510 545 612 654 765 981 1020 1090 1308 1530 1635 1853 1962 2180 3060 3270 3343 3706 3924 4905 5559 6540 6686 7412 9265 9810 10029 11118 13372 16677 16715 18530 19620 20058 22236 27795 30087 33354 33430 37060 40116 50145 55590 56831 60174 66708 66860 83385 100290 111180 113662 120348 150435 166770 170493 200580 227324 284155 300870 333540 340986 364387 511479 568310 601740 681972 728774 852465 1022958 1093161 1136620 1457548 1704930 1821935 2045916 2186322 2557395 3279483 3409860 3643870 4372644 5114790 5465805 6194579 6558966 7287740 10229580 10931610 12389158 13117932 16397415 18583737 21863220 24778316 30972895 32794830 37167474 55751211 61945790 65589660 74334948 92918685 111502422 123891580 185837370 223004844 278756055 371674740 557512110 1115024220