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320114214 = 23376113883
BaseRepresentation
bin10011000101001…
…000111000100110
3211022100111011000
4103011020320212
51123422123324
651433054130
710634632410
oct2305107046
9738314130
10320114214
11154772602
128b257346
13514211c4
143072b9b0
151d1839c9
hex13148e26

320114214 has 64 divisors (see below), whose sum is σ = 826375680. Its totient is φ = 89955360.

The previous prime is 320114213. The next prime is 320114237. The reversal of 320114214 is 412411023.

It is a super-2 number, since 2×3201142142 = 204946220009675592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320114213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16117 + ... + 29999.

It is an arithmetic number, because the mean of its divisors is an integer number (12912120).

Almost surely, 2320114214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320114214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413187840).

320114214 is an abundant number, since it is smaller than the sum of its proper divisors (506261466).

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

320114214 is a wasteful number, since it uses less digits than its factorization.

320114214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13962 (or 13956 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 320114214 is about 17891.7359135440. The cubic root of 320114214 is about 684.0717453213.

Adding to 320114214 its reverse (412411023), we get a palindrome (732525237).

The spelling of 320114214 in words is "three hundred twenty million, one hundred fourteen thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 61 63 122 126 183 189 366 378 427 549 854 1098 1281 1647 2562 3294 3843 7686 11529 13883 23058 27766 41649 83298 97181 124947 194362 249894 291543 374841 583086 749682 846863 874629 1693726 1749258 2540589 2623887 5081178 5247774 5928041 7621767 11856082 15243534 17784123 22865301 35568246 45730602 53352369 106704738 160057107 320114214