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2212100000 = 2555112011
BaseRepresentation
bin1000001111011001…
…1111011110100000
312201011110022201122
42003312133132200
514012244200000
61003300551412
7105550353065
oct20366373640
95634408648
102212100000
11a35744520
125189b2568
132933aa016
1416db0ac6c
15ce30c085
hex83d9f7a0

2212100000 has 144 divisors (see below), whose sum is σ = 5941307232. Its totient is φ = 804000000.

The previous prime is 2212099991. The next prime is 2212100021. The reversal of 2212100000 is 12122.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1098995 + ... + 1101005.

It is an arithmetic number, because the mean of its divisors is an integer number (41259078).

Almost surely, 22212100000 is an apocalyptic number.

2212100000 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 2212100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2970653616).

2212100000 is an abundant number, since it is smaller than the sum of its proper divisors (3729207232).

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

2212100000 is an equidigital number, since it uses as much as digits as its factorization.

2212100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2057 (or 2029 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 2212100000 is about 47032.9671613433. The cubic root of 2212100000 is about 1302.9715063800.

Adding to 2212100000 its reverse (12122), we get a palindrome (2212112122).

The spelling of 2212100000 in words is "two billion, two hundred twelve million, one hundred thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 625 800 880 1000 1100 1250 1375 1760 2000 2011 2200 2500 2750 3125 4000 4022 4400 5000 5500 6250 6875 8044 8800 10000 10055 11000 12500 13750 16088 20000 20110 22000 22121 25000 27500 32176 34375 40220 44000 44242 50000 50275 55000 64352 68750 80440 88484 100000 100550 110000 110605 137500 160880 176968 201100 220000 221210 251375 275000 321760 353936 402200 442420 502750 550000 553025 707872 804400 884840 1005500 1100000 1106050 1256875 1608800 1769680 2011000 2212100 2513750 2765125 3539360 4022000 4424200 5027500 5530250 6284375 8044000 8848400 10055000 11060500 12568750 13825625 17696800 20110000 22121000 25137500 27651250 40220000 44242000 50275000 55302500 69128125 88484000 100550000 110605000 138256250 201100000 221210000 276512500 442420000 553025000 1106050000 2212100000