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2243324424 = 23311312691019
BaseRepresentation
bin1000010110110110…
…0110101000001000
312210100012200120210
42011231212220020
514043242340144
61010334121120
7106406641305
oct20555465010
95710180523
102243324424
11a51330930
125273501a0
132999c0403
14173d180ac
15d1e28ab9
hex85b66a08

2243324424 has 128 divisors (see below), whose sum is σ = 6345216000. Its totient is φ = 654777600.

The previous prime is 2243324407. The next prime is 2243324459. The reversal of 2243324424 is 4244233422.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2243324391 and 2243324400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2200987 + ... + 2202005.

It is an arithmetic number, because the mean of its divisors is an integer number (49572000).

Almost surely, 22243324424 is an apocalyptic number.

2243324424 is a gapful number since it is divisible by the number (24) 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 2243324424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3172608000).

2243324424 is an abundant number, since it is smaller than the sum of its proper divisors (4101891576).

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

2243324424 is a wasteful number, since it uses less digits than its factorization.

2243324424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339 (or 1335 counting only the distinct ones).

The product of its digits is 36864, while the sum is 30.

The square root of 2243324424 is about 47363.7458822674. The cubic root of 2243324424 is about 1309.0734905125.

Adding to 2243324424 its reverse (4244233422), we get a palindrome (6487557846).

The spelling of 2243324424 in words is "two billion, two hundred forty-three million, three hundred twenty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 124 132 186 248 264 269 341 372 538 682 744 807 1019 1023 1076 1364 1614 2038 2046 2152 2728 2959 3057 3228 4076 4092 5918 6114 6456 8152 8184 8339 8877 11209 11836 12228 16678 17754 22418 23672 24456 25017 31589 33356 33627 35508 44836 50034 63178 66712 67254 71016 89672 91729 94767 100068 126356 134508 183458 189534 200136 252712 269016 274111 275187 347479 366916 379068 548222 550374 694958 733832 758136 822333 1042437 1096444 1100748 1389916 1644666 2084874 2192888 2201496 2779832 3015221 3289332 4169748 6030442 6578664 8339496 8497441 9045663 12060884 16994882 18091326 24121768 25492323 33989764 36182652 50984646 67979528 72365304 93471851 101969292 186943702 203938584 280415553 373887404 560831106 747774808 1121662212 2243324424