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214444314 = 23373971429
BaseRepresentation
bin11001100100000…
…10100100011010
3112221111220022000
430302002210122
5414344204224
633140141430
75212514040
oct1462024432
9487456260
10214444314
11100059207
125b997876
1335573a36
14206a2390
1513c5e0c9
hexcc8291a

214444314 has 64 divisors (see below), whose sum is σ = 546374400. Its totient is φ = 61072704.

The previous prime is 214444313. The next prime is 214444331. The reversal of 214444314 is 413444412.

214444314 is a `hidden beast` number, since 214 + 4 + 443 + 1 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (214444313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149352 + ... + 150780.

It is an arithmetic number, because the mean of its divisors is an integer number (8537100).

Almost surely, 2214444314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214444314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273187200).

214444314 is an abundant number, since it is smaller than the sum of its proper divisors (331930086).

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

214444314 is a wasteful number, since it uses less digits than its factorization.

214444314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1844 (or 1838 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 214444314 is about 14643.9173037818. The cubic root of 214444314 is about 598.5560779359.

Adding to 214444314 its reverse (413444412), we get a palindrome (627888726).

The spelling of 214444314 in words is "two hundred fourteen million, four hundred forty-four thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 397 794 1191 1429 2382 2779 2858 3573 4287 5558 7146 8337 8574 10003 10719 12861 16674 20006 21438 25011 25722 30009 38583 50022 60018 75033 77166 90027 150066 180054 270081 540162 567313 1134626 1701939 3403878 3971191 5105817 7942382 10211634 11913573 15317451 23827146 30634902 35740719 71481438 107222157 214444314