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11233332440 = 23511103311797
BaseRepresentation
bin10100111011000111…
…10000110011011000
31001222212111102011122
422131203300303120
5141001213114230
65054401144412
7545241515231
oct123543606330
931885442148
1011233332440
114844a17a20
12221602b108
1310a0382695
14787c8c088
1545b2cebe5
hex29d8f0cd8

11233332440 has 128 divisors (see below), whose sum is σ = 27964984320. Its totient is φ = 4027123200.

The previous prime is 11233332377. The next prime is 11233332463. The reversal of 11233332440 is 4423333211.

11233332440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 14094122 + ... + 14094918.

It is an arithmetic number, because the mean of its divisors is an integer number (218476440).

Almost surely, 211233332440 is an apocalyptic number.

11233332440 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 11233332440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13982492160).

11233332440 is an abundant number, since it is smaller than the sum of its proper divisors (16731651880).

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

11233332440 is a wasteful number, since it uses less digits than its factorization.

11233332440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 11233332440 its reverse (4423333211), we get a palindrome (15656665651).

The spelling of 11233332440 in words is "eleven billion, two hundred thirty-three million, three hundred thirty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 103 110 206 220 311 412 440 515 622 797 824 1030 1133 1244 1555 1594 2060 2266 2488 3110 3188 3421 3985 4120 4532 5665 6220 6376 6842 7970 8767 9064 11330 12440 13684 15940 17105 17534 22660 27368 31880 32033 34210 35068 43835 45320 64066 68420 70136 82091 87670 128132 136840 160165 164182 175340 247867 256264 320330 328364 350680 352363 410455 495734 640660 656728 704726 820910 903001 991468 1239335 1281320 1409452 1641820 1761815 1806002 1982936 2478670 2726537 2818904 3283640 3523630 3612004 4515005 4957340 5453074 7047260 7224008 9030010 9914680 10906148 13632685 14094520 18060020 21812296 25530301 27265370 36120040 51060602 54530740 102121204 109061480 127651505 204242408 255303010 280833311 510606020 561666622 1021212040 1123333244 1404166555 2246666488 2808333110 5616666220 11233332440