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2212200200 = 235271918273
BaseRepresentation
bin1000001111011011…
…0111111100001000
312201011122102011202
42003312313330020
514012310401300
61003303043332
7105551251160
oct20366677410
95634572152
102212200200
11a35802831
12518a40548
13293413802
1416db355a0
15ce32bad5
hex83db7f08

2212200200 has 96 divisors (see below), whose sum is σ = 5909621760. Its totient is φ = 754406400.

The previous prime is 2212200149. The next prime is 2212200203. The reversal of 2212200200 is 20022122.

It is not an unprimeable number, because it can be changed into a prime (2212200203) by changing a digit.

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, 263264 + ... + 271536.

It is an arithmetic number, because the mean of its divisors is an integer number (61558560).

Almost surely, 22212200200 is an apocalyptic number.

2212200200 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 2212200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2954810880).

2212200200 is an abundant number, since it is smaller than the sum of its proper divisors (3697421560).

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

2212200200 is a wasteful number, since it uses less digits than its factorization.

2212200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8487 (or 8478 counting only the distinct ones).

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

The square root of 2212200200 is about 47034.0323595585. The cubic root of 2212200200 is about 1302.9911793564.

Adding to 2212200200 its reverse (20022122), we get a palindrome (2232222322).

The spelling of 2212200200 in words is "two billion, two hundred twelve million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 191 200 280 350 382 700 764 955 1337 1400 1528 1910 2674 3820 4775 5348 6685 7640 8273 9550 10696 13370 16546 19100 26740 33092 33425 38200 41365 53480 57911 66184 66850 82730 115822 133700 165460 206825 231644 267400 289555 330920 413650 463288 579110 827300 1158220 1447775 1580143 1654600 2316440 2895550 3160286 5791100 6320572 7900715 11061001 11582200 12641144 15801430 22122002 31602860 39503575 44244004 55305005 63205720 79007150 88488008 110610010 158014300 221220020 276525025 316028600 442440040 553050050 1106100100 2212200200