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22122200221000 = 2353112182828101
BaseRepresentation
bin1010000011110101110011…
…11000101100010101001000
32220022212021011120202220221
411001322321320230111020
510344422231224033000
6115014444245555424
74442163513201565
oct501727170542510
986285234522827
1022122200221000
117059a77333600
122593520115b74
13c46164810589
14566a1234b86c
152856b107b61a
hex141eb9e2c548

22122200221000 has 96 divisors (see below), whose sum is σ = 56899761904440. Its totient is φ = 8044436400000.

The previous prime is 22122200220943. The next prime is 22122200221031. The reversal of 22122200221000 is 12200222122.

It can be written as a sum of positive squares in 4 ways, for example, as 1839012634404 + 20283187586596 = 1356102^2 + 4503686^2 .

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, 91293051 + ... + 91535050.

Almost surely, 222122200221000 is an apocalyptic number.

22122200221000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22122200221000 is an abundant number, since it is smaller than the sum of its proper divisors (34777561683440).

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

22122200221000 is a wasteful number, since it uses less digits than its factorization.

22122200221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182828144 (or 182828119 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 22122200221000 its reverse (12200222122), we get a palindrome (22134400443122).

The spelling of 22122200221000 in words is "twenty-two trillion, one hundred twenty-two billion, two hundred million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 125 200 220 242 250 275 440 484 500 550 605 968 1000 1100 1210 1375 2200 2420 2750 3025 4840 5500 6050 11000 12100 15125 24200 30250 60500 121000 182828101 365656202 731312404 914140505 1462624808 1828281010 2011109111 3656562020 4022218222 4570702525 7313124040 8044436444 9141405050 10055545555 16088872888 18282810100 20111091110 22122200221 22853512625 36565620200 40222182220 44244400442 45707025250 50277727775 80444364440 88488800884 91414050500 100555455550 110611001105 176977601768 182828101000 201110911100 221222002210 251388638875 402221822200 442444004420 502777277750 553055005525 884888008840 1005554555500 1106110011050 2011109111000 2212220022100 2765275027625 4424440044200 5530550055250 11061100110500 22122200221000