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211224104220 = 2235411574871123
BaseRepresentation
bin1100010010110111110…
…0000000110100011100
3202012012120102020221010
43010231330000310130
511430041332313340
6241011321335220
721155221155633
oct3045574006434
9665176366833
10211224104220
1181641555898
1234b2a637510
1316bc27c036c
14a31aa4a51a
155763a2eb80
hex312df00d1c

211224104220 has 192 divisors, whose sum is σ = 611507506176. Its totient is φ = 54441953280.

The previous prime is 211224104159. The next prime is 211224104227. The reversal of 211224104220 is 22401422112.

It is a super-3 number, since 3×2112241042203 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211224104227) 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 63 ways as a sum of consecutive naturals, for example, 188088579 + ... + 188089701.

It is an arithmetic number, because the mean of its divisors is an integer number (3184934928).

Almost surely, 2211224104220 is an apocalyptic number.

211224104220 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 211224104220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305753753088).

211224104220 is an abundant number, since it is smaller than the sum of its proper divisors (400283401956).

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

211224104220 is a wasteful number, since it uses less digits than its factorization.

211224104220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820 (or 1818 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 211224104220 its reverse (22401422112), we get a palindrome (233625526332).

The spelling of 211224104220 in words is "two hundred eleven billion, two hundred twenty-four million, one hundred four thousand, two hundred twenty".