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11224343000 = 2353131635297
BaseRepresentation
bin10100111010000010…
…11110000111011000
31001222020120200222102
422131001132013120
5140441412434000
65053440342532
7545102225033
oct123501360730
931866520872
1011224343000
11483a938032
122213014a48
13109b555aa0
147869cc01a
1545a6063d5
hex29d05e1d8

11224343000 has 128 divisors (see below), whose sum is σ = 28464246720. Its totient is φ = 4118169600.

The previous prime is 11224342879. The next prime is 11224343027. The reversal of 11224343000 is 34342211.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2116352 + ... + 2121648.

Almost surely, 211224343000 is an apocalyptic number.

11224343000 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 11224343000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14232123360).

11224343000 is an abundant number, since it is smaller than the sum of its proper divisors (17239903720).

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

11224343000 is a wasteful number, since it uses less digits than its factorization.

11224343000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5494 (or 5480 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 11224343000 its reverse (34342211), we get a palindrome (11258685211).

The spelling of 11224343000 in words is "eleven billion, two hundred twenty-four million, three hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 163 200 250 260 325 326 500 520 650 652 815 1000 1300 1304 1625 1630 2119 2600 3250 3260 4075 4238 5297 6500 6520 8150 8476 10594 10595 13000 16300 16952 20375 21188 21190 26485 32600 40750 42376 42380 52970 52975 68861 81500 84760 105940 105950 132425 137722 163000 211880 211900 264850 264875 275444 344305 423800 529700 529750 550888 662125 688610 863411 1059400 1059500 1324250 1377220 1721525 1726822 2119000 2648500 2754440 3443050 3453644 4317055 5297000 6886100 6907288 8607625 8634110 11224343 13772200 17215250 17268220 21585275 22448686 34430500 34536440 43170550 44897372 56121715 68861000 86341100 89794744 107926375 112243430 172682200 215852750 224486860 280608575 431705500 448973720 561217150 863411000 1122434300 1403042875 2244868600 2806085750 5612171500 11224343000