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22122200200 = 2352257430393
BaseRepresentation
bin10100100110100101…
…011111110010001000
32010002201211012122011
4110212211133302020
5330301240401300
614055055305304
71412131412332
oct244645376210
963081735564
1022122200200
119422450491
12435481b234
1321172694b9
1410dc0b0452
1589721aeba
hex52695fc88

22122200200 has 48 divisors (see below), whose sum is σ = 51634368180. Its totient is φ = 8814428160.

The previous prime is 22122200161. The next prime is 22122200201. The reversal of 22122200200 is 200222122.

It can be written as a sum of positive squares in 6 ways, for example, as 14405280484 + 7716919716 = 120022^2 + 87846^2 .

It is not an unprimeable number, because it can be changed into a prime (22122200201) 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 11 ways as a sum of consecutive naturals, for example, 163797 + ... + 266596.

Almost surely, 222122200200 is an apocalyptic number.

22122200200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22122200200 is an abundant number, since it is smaller than the sum of its proper divisors (29512167980).

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

22122200200 is a wasteful number, since it uses less digits than its factorization.

22122200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430666 (or 430657 counting only the distinct ones).

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

Adding to 22122200200 its reverse (200222122), we get a palindrome (22322422322).

The spelling of 22122200200 in words is "twenty-two billion, one hundred twenty-two million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 257 514 1028 1285 2056 2570 5140 6425 10280 12850 25700 51400 430393 860786 1721572 2151965 3443144 4303930 8607860 10759825 17215720 21519650 43039300 86078600 110611001 221222002 442444004 553055005 884888008 1106110010 2212220020 2765275025 4424440040 5530550050 11061100100 22122200200