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214402332060 = 2232573153103567
BaseRepresentation
bin1100011110101101011…
…1111111010110011100
3202111102001210221220100
43013223113333112130
512003043444111220
6242254534021100
721330042516210
oct3075327772634
9674361727810
10214402332060
1182a22588474
1235676aa7790
13172ab0a7c57
14a53cba8940
15589ca7bd90
hex31eb5ff59c

214402332060 has 288 divisors, whose sum is σ = 781721321472. Its totient is φ = 46530132480.

The previous prime is 214402332019. The next prime is 214402332061. The reversal of 214402332060 is 60233204412.

214402332060 is a `hidden beast` number, since 21 + 4 + 402 + 33 + 206 + 0 = 666.

214402332060 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214402332061) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2018397 + ... + 2121963.

It is an arithmetic number, because the mean of its divisors is an integer number (2714310144).

Almost surely, 2214402332060 is an apocalyptic number.

214402332060 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 214402332060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390860660736).

214402332060 is an abundant number, since it is smaller than the sum of its proper divisors (567318989412).

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

214402332060 is a wasteful number, since it uses less digits than its factorization.

214402332060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103673 (or 103668 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 214402332060 its reverse (60233204412), we get a palindrome (274635536472).

The spelling of 214402332060 in words is "two hundred fourteen billion, four hundred two million, three hundred thirty-two thousand, sixty".