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211228081200 = 24325288366449
BaseRepresentation
bin1100010010111000101…
…1001011110000110000
3202012012211220022022200
43010232023023300300
511430043342044300
6241011542503200
721155300031423
oct3045613136060
9665184808280
10211228081200
1181643821854
1234b2ba34b00
1316bc35835c6
14a31b3a39ba
155764068200
hex312e2cbc30

211228081200 has 180 divisors, whose sum is σ = 733861307400. Its totient is φ = 56262850560.

The previous prime is 211228081133. The next prime is 211228081213. The reversal of 211228081200 is 2180822112.

It is a tau number, because it is divible by the number of its divisors (180).

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 35 ways as a sum of consecutive naturals, for example, 3145576 + ... + 3212024.

Almost surely, 2211228081200 is an apocalyptic number.

211228081200 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 211228081200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366930653700).

211228081200 is an abundant number, since it is smaller than the sum of its proper divisors (522633226200).

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

211228081200 is a wasteful number, since it uses less digits than its factorization.

211228081200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67356 (or 67342 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The spelling of 211228081200 in words is "two hundred eleven billion, two hundred twenty-eight million, eighty-one thousand, two hundred".