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214303412224 = 2121117535279
BaseRepresentation
bin1100011110010101111…
…0101001000000000000
3202111011011200022101201
43013211132221000000
512002343133142344
6242241041510544
721324431643166
oct3074536510000
9674134608351
10214303412224
1182981764540
1235649942454
1317293751cc5
14a52d9b9236
15589403c4d4
hex31e57a9000

214303412224 has 208 divisors, whose sum is σ = 504450270720. Its totient is φ = 89933742080.

The previous prime is 214303412201. The next prime is 214303412299. The reversal of 214303412224 is 422214303412.

It is a junction number, because it is equal to n+sod(n) for n = 214303412192 and 214303412201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40592817 + ... + 40598095.

Almost surely, 2214303412224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214303412224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252225135360).

214303412224 is an abundant number, since it is smaller than the sum of its proper divisors (290146858496).

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

214303412224 is a wasteful number, since it uses less digits than its factorization.

214303412224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5384 (or 5362 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 214303412224 its reverse (422214303412), we get a palindrome (636517715636).

The spelling of 214303412224 in words is "two hundred fourteen billion, three hundred three million, four hundred twelve thousand, two hundred twenty-four".