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212234000000 = 2756112877
BaseRepresentation
bin1100010110101000100…
…0011101011010000000
3202021210221201021111112
43011222020131122000
511434123401000000
6241255435102452
721222233143331
oct3055210353200
9667727637445
10212234000000
118200a618500
12351708a1a28
1317023ab3829
14a3b4c12288
1557c2518235
hex316a21d680

212234000000 has 336 divisors, whose sum is σ = 581581813470. Its totient is φ = 77088000000.

The previous prime is 212233999993. The next prime is 212234000003. The reversal of 212234000000 is 432212.

It can be written as a sum of positive squares in 7 ways, for example, as 73605860416 + 138628139584 = 271304^2 + 372328^2 .

It is not an unprimeable number, because it can be changed into a prime (212234000003) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 241999562 + ... + 242000438.

Almost surely, 2212234000000 is an apocalyptic number.

212234000000 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 212234000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290790906735).

212234000000 is an abundant number, since it is smaller than the sum of its proper divisors (369347813470).

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

212234000000 is an frugal number, since it uses more digits than its factorization.

212234000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 212234000000 its reverse (432212), we get a palindrome (212234432212).

The spelling of 212234000000 in words is "two hundred twelve billion, two hundred thirty-four million", and thus it is an aban number.