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11322352240 = 24517372231009
BaseRepresentation
bin10101000101101110…
…10110001001110000
31002020002000002101021
422202313112021300
5141142010232430
65111301145224
7550402256203
oct124267261160
932202002337
1011322352240
114890199901
12223b9bb214
1310b5950414
14795a2193a
1546401607a
hex2a2dd6270

11322352240 has 160 divisors (see below), whose sum is σ = 28783157760. Its totient is φ = 4124639232.

The previous prime is 11322352229. The next prime is 11322352241. The reversal of 11322352240 is 4225322311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11322352241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11220856 + ... + 11221864.

It is an arithmetic number, because the mean of its divisors is an integer number (179894736).

Almost surely, 211322352240 is an apocalyptic number.

11322352240 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 11322352240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14391578880).

11322352240 is an abundant number, since it is smaller than the sum of its proper divisors (17460805520).

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

11322352240 is a wasteful number, since it uses less digits than its factorization.

11322352240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1299 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 11322352240 its reverse (4225322311), we get a palindrome (15547674551).

The spelling of 11322352240 in words is "eleven billion, three hundred twenty-two million, three hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 37 40 68 74 80 85 136 148 170 185 223 272 296 340 370 446 592 629 680 740 892 1009 1115 1258 1360 1480 1784 2018 2230 2516 2960 3145 3568 3791 4036 4460 5032 5045 6290 7582 8072 8251 8920 10064 10090 12580 15164 16144 16502 17153 17840 18955 20180 25160 30328 33004 34306 37333 37910 40360 41255 50320 60656 66008 68612 74666 75820 80720 82510 85765 132016 137224 140267 149332 151640 165020 171530 186665 225007 274448 280534 298664 303280 330040 343060 373330 450014 561068 597328 634661 660080 686120 701335 746660 900028 1122136 1125035 1269322 1372240 1402670 1493320 1800056 2244272 2250070 2538644 2805340 2986640 3173305 3600112 3825119 4500140 5077288 5610680 6346610 7650238 8325259 9000280 10154576 11221360 12693220 15300476 16650518 18000560 19125595 25386440 30600952 33301036 38251190 41626295 50772880 61201904 66602072 76502380 83252590 133204144 141529403 153004760 166505180 283058806 306009520 333010360 566117612 666020720 707647015 1132235224 1415294030 2264470448 2830588060 5661176120 11322352240