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22022000000100 = 223252163714947397
BaseRepresentation
bin1010000000111011001010…
…11111001011110001100100
32212222021122001012011020100
411000131211133023301210
510341302024000000400
6114500433411304100
74432015455315642
oct500354537136144
985867561164210
1022022000000100
117020528984591
1225780172ab030
13c3988669a139
14561c2888c192
15282c99492100
hex1407657cbc64

22022000000100 has 108 divisors (see below), whose sum is σ = 69068906783604. Its totient is φ = 5868945565440.

The previous prime is 22022000000083. The next prime is 22022000000111. The reversal of 22022000000100 is 100000022022.

It can be written as a sum of positive squares in 6 ways, for example, as 6773037480036 + 15248962520064 = 2602506^2 + 3904992^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6000399 + ... + 8946998.

It is an arithmetic number, because the mean of its divisors is an integer number (639526914663).

Almost surely, 222022000000100 is an apocalyptic number.

22022000000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22022000000100 is an abundant number, since it is smaller than the sum of its proper divisors (47046906783504).

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

22022000000100 is a wasteful number, since it uses less digits than its factorization.

22022000000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14949054 (or 14949044 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 22022000000100 its reverse (100000022022), we get a palindrome (22122000022122).

The spelling of 22022000000100 in words is "twenty-two trillion, twenty-two billion, one hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 1637 3274 4911 6548 8185 9822 14733 16370 19644 24555 29466 32740 40925 49110 58932 73665 81850 98220 122775 147330 163700 245550 294660 368325 491100 736650 1473300 14947397 29894794 44842191 59789588 74736985 89684382 134526573 149473970 179368764 224210955 269053146 298947940 373684925 448421910 538106292 672632865 747369850 896843820 1121054775 1345265730 1494739700 2242109550 2690531460 3363164325 4484219100 6726328650 13452657300 24468888889 48937777778 73406666667 97875555556 122344444445 146813333334 220220000001 244688888890 293626666668 367033333335 440440000002 489377777780 611722222225 734066666670 880880000004 1101100000005 1223444444450 1468133333340 1835166666675 2202200000010 2446888888900 3670333333350 4404400000020 5505500000025 7340666666700 11011000000050 22022000000100