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2212202000000 = 27561106101
BaseRepresentation
bin100000001100010001100…
…000111010111010000000
321211111002011100100201102
4200030101200322322000
5242221042203000000
64412134354153532
7315553266513056
oct40142140727200
97744064310642
102212202000000
1178320a3a2203
122b88a5b828a8
131307c0822795
14790dd3321d6
153c8277c43d5
hex2031183ae80

2212202000000 has 112 divisors (see below), whose sum is σ = 5508835931310. Its totient is φ = 884880000000.

The previous prime is 2212201999961. The next prime is 2212202000059. The reversal of 2212202000000 is 2022122.

It can be written as a sum of positive squares in 7 ways, for example, as 1597433098816 + 614768901184 = 1263896^2 + 784072^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1446950 + ... + 2553050.

Almost surely, 22212202000000 is an apocalyptic number.

2212202000000 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 2212202000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2754417965655).

2212202000000 is an abundant number, since it is smaller than the sum of its proper divisors (3296633931310).

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

2212202000000 is an frugal number, since it uses more digits than its factorization.

2212202000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106145 (or 1106108 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 2212202000000 its reverse (2022122), we get a palindrome (2212204022122).

The spelling of 2212202000000 in words is "two trillion, two hundred twelve billion, two hundred two million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 15625 16000 20000 25000 31250 40000 50000 62500 80000 100000 125000 200000 250000 400000 500000 1000000 1106101 2000000 2212202 4424404 5530505 8848808 11061010 17697616 22122020 27652525 35395232 44244040 55305050 70790464 88488080 110610100 138262625 141580928 176976160 221220200 276525250 353952320 442440400 553050500 691313125 707904640 884880800 1106101000 1382626250 1769761600 2212202000 2765252500 3456565625 3539523200 4424404000 5530505000 6913131250 8848808000 11061010000 13826262500 17282828125 17697616000 22122020000 27652525000 34565656250 44244040000 55305050000 69131312500 88488080000 110610100000 138262625000 221220200000 276525250000 442440400000 553050500000 1106101000000 2212202000000