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22054341324520 = 23517187317315993
BaseRepresentation
bin1010000001110111011010…
…01011100010111011101000
32220002101002222002122220201
411000323231023202323220
510342314242334341040
6114523342522201544
74434242065121341
oct500735513427350
986071088078821
1022054341324520
1170332147a427a
1225823423532b4
13c3c93bb459ab
14563615c410c8
15283a3d901a9a
hex140eed2e2ee8

22054341324520 has 64 divisors (see below), whose sum is σ = 52569279864720. Its totient is φ = 8298377478144.

The previous prime is 22054341324479. The next prime is 22054341324527. The reversal of 22054341324520 is 2542314345022.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 13505933701764 + 8548407622756 = 3675042^2 + 2923766^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 22054341324520.

It is not an unprimeable number, because it can be changed into a prime (22054341324527) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7384357 + ... + 9931636.

Almost surely, 222054341324520 is an apocalyptic number.

22054341324520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22054341324520 is an abundant number, since it is smaller than the sum of its proper divisors (30514938540200).

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

22054341324520 is a wasteful number, since it uses less digits than its factorization.

22054341324520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17317894 (or 17317890 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 37.

Adding to 22054341324520 its reverse (2542314345022), we get a palindrome (24596655669542).

The spelling of 22054341324520 in words is "twenty-two trillion, fifty-four billion, three hundred forty-one million, three hundred twenty-four thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 1873 3746 7492 9365 14984 18730 31841 37460 63682 74920 127364 159205 254728 318410 636820 1273640 17315993 34631986 69263972 86579965 138527944 173159930 294371881 346319860 588743762 692639720 1177487524 1471859405 2354975048 2943718810 5887437620 11774875240 32432854889 64865709778 129731419556 162164274445 259462839112 324328548890 551358533113 648657097780 1102717066226 1297314195560 2205434132452 2756792665565 4410868264904 5513585331130 11027170662260 22054341324520