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22220053133220 = 2234517597797659
BaseRepresentation
bin1010000110101100000100…
…10111111011011110100100
32220200012211201002202110000
411003112002113323132210
510403023132100230340
6115131430153301300
74452226426215135
oct503260227733644
986605751082400
1022220053133220
117097520799898
1225aa48aa04830
13c5245a556477
1456b656185c8c
15287edba4bd30
hex1435825fb7a4

22220053133220 has 120 divisors (see below), whose sum is σ = 69744766291200. Its totient is φ = 5921978154048.

The previous prime is 22220053133207. The next prime is 22220053133263. The reversal of 22220053133220 is 2233135002222.

22220053133220 is a `hidden beast` number, since 2 + 2 + 2 + 20 + 0 + 5 + 313 + 322 + 0 = 666.

It is a super-2 number, since 2×222200531332202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1049250 + ... + 6748409.

It is an arithmetic number, because the mean of its divisors is an integer number (581206385760).

Almost surely, 222220053133220 is an apocalyptic number.

22220053133220 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 22220053133220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34872383145600).

22220053133220 is an abundant number, since it is smaller than the sum of its proper divisors (47524713157980).

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

22220053133220 is a wasteful number, since it uses less digits than its factorization.

22220053133220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7799439 (or 7799428 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 22220053133220 its reverse (2233135002222), we get a palindrome (24453188135442).

The spelling of 22220053133220 in words is "twenty-two trillion, two hundred twenty billion, fifty-three million, one hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 1759 3518 5277 7036 8795 10554 15831 17590 21108 26385 31662 35180 47493 52770 63324 79155 94986 105540 142479 158310 189972 237465 284958 316620 474930 569916 712395 949860 1424790 2849580 7797659 15595318 23392977 31190636 38988295 46785954 70178931 77976590 93571908 116964885 140357862 155953180 210536793 233929770 280715724 350894655 421073586 467859540 631610379 701789310 842147172 1052683965 1263220758 1403578620 2105367930 2526441516 3158051895 4210735860 6316103790 12632207580 13716082181 27432164362 41148246543 54864328724 68580410905 82296493086 123444739629 137160821810 164592986172 205741232715 246889479258 274321643620 370334218887 411482465430 493778958516 617223698145 740668437774 822964930860 1111002656661 1234447396290 1481336875548 1851671094435 2222005313322 2468894792580 3703342188870 4444010626644 5555013283305 7406684377740 11110026566610 22220053133220