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22040040 = 23351159283
BaseRepresentation
bin101010000010…
…0110111101000
31112110202020210
41110010313220
521120240130
62104221120
7355223451
oct124046750
945422223
1022040040
1111494010
12746a7a0
134748b59
142cda128
151e055b0
hex1504de8

22040040 has 128 divisors (see below), whose sum is σ = 73612800. Its totient is φ = 5233920.

The previous prime is 22040023. The next prime is 22040071. The reversal of 22040040 is 4004022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 22039998 and 22040025.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77739 + ... + 78021.

It is an arithmetic number, because the mean of its divisors is an integer number (575100).

Almost surely, 222040040 is an apocalyptic number.

22040040 is a gapful number since it is divisible by the number (20) 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 22040040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36806400).

22040040 is an abundant number, since it is smaller than the sum of its proper divisors (51572760).

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

22040040 is a wasteful number, since it uses less digits than its factorization.

22040040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 22040040 is about 4694.6820978635. The cubic root of 22040040 is about 280.3738204282.

Adding to 22040040 its reverse (4004022), we get a palindrome (26044062).

The spelling of 22040040 in words is "twenty-two million, forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 59 60 66 88 110 118 120 132 165 177 220 236 264 283 295 330 354 440 472 566 590 649 660 708 849 885 1132 1180 1298 1320 1415 1416 1698 1770 1947 2264 2360 2596 2830 3113 3245 3396 3540 3894 4245 5192 5660 6226 6490 6792 7080 7788 8490 9339 9735 11320 12452 12980 15565 15576 16697 16980 18678 19470 24904 25960 31130 33394 33960 37356 38940 46695 50091 62260 66788 74712 77880 83485 93390 100182 124520 133576 166970 183667 186780 200364 250455 333940 367334 373560 400728 500910 551001 667880 734668 918335 1001820 1102002 1469336 1836670 2003640 2204004 2755005 3673340 4408008 5510010 7346680 11020020 22040040