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22133022120440 = 23571120993423557
BaseRepresentation
bin1010000100001001111101…
…11010111101100111111000
32220100220012100220020010022
411002010332322331213320
510400111412130323230
6115023434152510012
74443025630630040
oct502047672754770
986326170806108
1022133022120440
11706361aa86850
1225956403ab308
13c4719a87a77a
1456735b6da720
15285ae618a1e5
hex14213eebd9f8

22133022120440 has 128 divisors (see below), whose sum is σ = 62117036352000. Its totient is φ = 6895315668480.

The previous prime is 22133022120439. The next prime is 22133022120487. The reversal of 22133022120440 is 4402122033122.

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, 4753142 + ... + 8176698.

It is an arithmetic number, because the mean of its divisors is an integer number (485289346500).

Almost surely, 222133022120440 is an apocalyptic number.

22133022120440 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 22133022120440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31058518176000).

22133022120440 is an abundant number, since it is smaller than the sum of its proper divisors (39984014231560).

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

22133022120440 is a wasteful number, since it uses less digits than its factorization.

22133022120440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3425685 (or 3425681 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 22133022120440 its reverse (4402122033122), we get a palindrome (26535144153562).

The spelling of 22133022120440 in words is "twenty-two trillion, one hundred thirty-three billion, twenty-two million, one hundred twenty thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 2099 3080 4198 8396 10495 14693 16792 20990 23089 29386 41980 46178 58772 73465 83960 92356 115445 117544 146930 161623 184712 230890 293860 323246 461780 587720 646492 808115 923560 1292984 1616230 3232460 3423557 6464920 6847114 13694228 17117785 23964899 27388456 34235570 37659127 47929798 68471140 75318254 95859596 119824495 136942280 150636508 188295635 191719192 239648990 263613889 301273016 376591270 479297980 527227778 753182540 958595960 1054455556 1318069445 1506365080 2108911112 2636138890 5272277780 7186046143 10544555560 14372092286 28744184572 35930230715 50302323001 57488369144 71860461430 79046507573 100604646002 143720922860 158093015146 201209292004 251511615005 287441845720 316186030292 395232537865 402418584008 503023230010 553325553011 632372060584 790465075730 1006046460020 1106651106022 1580930151460 2012092920040 2213302212044 2766627765055 3161860302920 4426604424088 5533255530110 11066511060220 22133022120440