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22144013432200 = 23521119501516151
BaseRepresentation
bin1010000100011110011100…
…00011011111010110001000
32220101221120100222201100001
411002033032003133112020
510400301414414312300
6115032452550452344
74443565203345532
oct502171603372610
986357510881301
1022144013432200
11706825031aa80
1225977a93640b4
13c4822ca5263a
14567ac1388852
1528603b0b016a
hex1423ce0df588

22144013432200 has 96 divisors (see below), whose sum is σ = 56168259376320. Its totient is φ = 8051940000000.

The previous prime is 22144013432141. The next prime is 22144013432227. The reversal of 22144013432200 is 223431044122.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42644125 + ... + 43160275.

It is an arithmetic number, because the mean of its divisors is an integer number (585086035170).

Almost surely, 222144013432200 is an apocalyptic number.

22144013432200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22144013432200 is an abundant number, since it is smaller than the sum of its proper divisors (34024245944120).

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

22144013432200 is a wasteful number, since it uses less digits than its factorization.

22144013432200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535679 (or 535670 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 22144013432200 its reverse (223431044122), we get a palindrome (22367444476322).

The spelling of 22144013432200 in words is "twenty-two trillion, one hundred forty-four billion, thirteen million, four hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 19501 39002 78004 97505 156008 195010 214511 390020 429022 487525 516151 780040 858044 975050 1032302 1072555 1716088 1950100 2064604 2145110 2580755 3900200 4129208 4290220 5161510 5362775 5677661 8580440 10323020 10725550 11355322 12903775 20646040 21451100 22710644 25807550 28388305 42902200 45421288 51615100 56776610 103230200 113553220 141941525 227106440 283883050 567766100 1135532200 10065460651 20130921302 40261842604 50327303255 80523685208 100654606510 110720067161 201309213020 221440134322 251636516275 402618426040 442880268644 503273032550 553600335805 885760537288 1006546065100 1107200671610 2013092130200 2214401343220 2768001679025 4428802686440 5536003358050 11072006716100 22144013432200