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22040423133432 = 233112922731266539
BaseRepresentation
bin1010000001011101011111…
…00101110111000011111000
32220001001011222120022001220
411000232233211313003320
510342102241310232212
6114513121451112040
74433240142341634
oct500565745670370
986031158508056
1022040423133432
1170283222a2310
12257b6b9142620
13c3b53147b672
14562a95581dc4
152834c6a7d38c
hex140baf9770f8

22040423133432 has 128 divisors (see below), whose sum is σ = 62210418336000. Its totient is φ = 6445766512640.

The previous prime is 22040423133373. The next prime is 22040423133451. The reversal of 22040423133432 is 23433132404022.

It is a super-2 number, since 2×220404231334322 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 22040423133393 and 22040423133402.

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, 16768819 + ... + 18035357.

It is an arithmetic number, because the mean of its divisors is an integer number (486018893250).

Almost surely, 222040423133432 is an apocalyptic number.

22040423133432 is a gapful number since it is divisible by the number (22) 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 22040423133432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31105209168000).

22040423133432 is an abundant number, since it is smaller than the sum of its proper divisors (40169995202568).

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

22040423133432 is a wasteful number, since it uses less digits than its factorization.

22040423133432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268861 (or 1268857 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 33.

Adding to 22040423133432 its reverse (23433132404022), we get a palindrome (45473555537454).

The spelling of 22040423133432 in words is "twenty-two trillion, forty billion, four hundred twenty-three million, one hundred thirty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 44 58 66 87 88 116 132 174 232 264 319 348 638 696 957 1276 1914 2273 2552 3828 4546 6819 7656 9092 13638 18184 25003 27276 50006 54552 65917 75009 100012 131834 150018 197751 200024 263668 300036 395502 527336 600072 725087 791004 1266539 1450174 1582008 2175261 2533078 2900348 3799617 4350522 5066156 5800696 7599234 8701044 10132312 13931929 15198468 17402088 27863858 30396936 36729631 41795787 55727716 73459262 83591574 110188893 111455432 146918524 167183148 220377786 293837048 334366296 404025941 440755572 808051882 881511144 1212077823 1616103764 2424155646 2878843147 3232207528 4848311292 5757686294 8636529441 9696622584 11515372588 17273058882 23030745176 31667274617 34546117764 63334549234 69092235528 83486451263 95001823851 126669098468 166972902526 190003647702 250459353789 253338196936 333945805052 380007295404 500918707578 667891610104 760014590808 918350963893 1001837415156 1836701927786 2003674830312 2755052891679 3673403855572 5510105783358 7346807711144 11020211566716 22040423133432