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22212200020000 = 25544012769601
BaseRepresentation
bin1010000110011101011100…
…10010101011100000100000
32220122110120102002021022211
411003032232102223200200
510402411041201120000
6115124051022011504
74451531010650254
oct503165622534040
986573512067284
1022212200020000
117094160927681
1225a8a58a16b94
13c517a8592203
1456b10d1d6264
15287bcc3b87ba
hex1433ae4ab820

22212200020000 has 120 divisors (see below), whose sum is σ = 54781636336812. Its totient is φ = 8862720000000.

The previous prime is 22212200019991. The next prime is 22212200020007. The reversal of 22212200020000 is 2000221222.

It can be written as a sum of positive squares in 10 ways, for example, as 233393339664 + 21978806680336 = 483108^2 + 4688156^2 .

It is not an unprimeable number, because it can be changed into a prime (22212200020007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6635200 + ... + 9404800.

Almost surely, 222212200020000 is an apocalyptic number.

22212200020000 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 22212200020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27390818168406).

22212200020000 is an abundant number, since it is smaller than the sum of its proper divisors (32569436316812).

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

22212200020000 is an equidigital number, since it uses as much as digits as its factorization.

22212200020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2770032 (or 2770009 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 22212200020000 its reverse (2000221222), we get a palindrome (22214200241222).

The spelling of 22212200020000 in words is "twenty-two trillion, two hundred twelve billion, two hundred million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 401 500 625 800 802 1000 1250 1604 2000 2005 2500 3208 4000 4010 5000 6416 8020 10000 10025 12832 16040 20000 20050 32080 40100 50125 64160 80200 100250 160400 200500 250625 320800 401000 501250 802000 1002500 1604000 2005000 2769601 4010000 5539202 8020000 11078404 13848005 22156808 27696010 44313616 55392020 69240025 88627232 110784040 138480050 221568080 276960100 346200125 443136160 553920200 692400250 1107840400 1110610001 1384800500 1731000625 2215680800 2221220002 2769601000 3462001250 4442440004 5539202000 5553050005 6924002500 8884880008 11078404000 11106100010 13848005000 17769760016 22212200020 27696010000 27765250025 35539520032 44424400040 55392020000 55530500050 88848800080 111061000100 138826250125 177697600160 222122000200 277652500250 444244000400 555305000500 694131250625 888488000800 1110610001000 1388262501250 2221220002000 2776525002500 4442440004000 5553050005000 11106100010000 22212200020000