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212443000 = 23537113189
BaseRepresentation
bin11001010100110…
…01111101111000
3112210202020000021
430222121331320
5413341134000
633025220224
75156510230
oct1452317570
9483666007
10212443000
11a9a11630
125b191674
1335022b23
1420300cc0
15139b611a
hexca99f78

212443000 has 256 divisors, whose sum is σ = 646963200. Its totient is φ = 63360000.

The previous prime is 212442991. The next prime is 212443001. The reversal of 212443000 is 344212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212443001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2386956 + ... + 2387044.

It is an arithmetic number, because the mean of its divisors is an integer number (2527200).

Almost surely, 2212443000 is an apocalyptic number.

212443000 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 212443000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323481600).

212443000 is an abundant number, since it is smaller than the sum of its proper divisors (434520200).

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

212443000 is a wasteful number, since it uses less digits than its factorization.

212443000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 212443000 is about 14575.4245221194. The cubic root of 212443000 is about 596.6882354732.

Adding to 212443000 its reverse (344212), we get a palindrome (212787212).

The spelling of 212443000 in words is "two hundred twelve million, four hundred forty-three thousand".