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2212101200 = 245217325309
BaseRepresentation
bin1000001111011001…
…1111110001010000
312201011110101101002
42003312133301100
514012244214300
61003301001132
7105550356431
oct20366376120
95634411332
102212101200
11a35745411
125189b31a8
132933aa72a
1416db0b488
15ce30c5d5
hex83d9fc50

2212101200 has 60 divisors (see below), whose sum is σ = 5627212380. Its totient is φ = 832788480.

The previous prime is 2212101187. The next prime is 2212101209. The reversal of 2212101200 is 21012122.

It is a happy number.

2212101200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 147671104 + 2064430096 = 12152^2 + 45436^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212101209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 155855 + ... + 169454.

It is an arithmetic number, because the mean of its divisors is an integer number (93786873).

Almost surely, 22212101200 is an apocalyptic number.

2212101200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2212101200 is an abundant number, since it is smaller than the sum of its proper divisors (3415111180).

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

2212101200 is a wasteful number, since it uses less digits than its factorization.

2212101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325344 (or 325333 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 2212101200 is about 47032.9799183509. The cubic root of 2212101200 is about 1302.9717419880.

Adding to 2212101200 its reverse (21012122), we get a palindrome (2233113322).

The spelling of 2212101200 in words is "two billion, two hundred twelve million, one hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 136 170 200 272 340 400 425 680 850 1360 1700 3400 6800 325309 650618 1301236 1626545 2602472 3253090 5204944 5530253 6506180 8132725 11060506 13012360 16265450 22121012 26024720 27651265 32530900 44242024 55302530 65061800 88484048 110605060 130123600 138256325 221210120 276512650 442420240 553025300 1106050600 2212101200