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330131214 = 2347319391
BaseRepresentation
bin10011101011010…
…110011100001110
3212000012101220000
4103223112130032
51134003144324
652431505130
711116032450
oct2353263416
9760171800
10330131214
1115a394516
12926881a6
135351a71a
1431bb82d0
151deb19c9
hex13ad670e

330131214 has 80 divisors (see below), whose sum is σ = 872779776. Its totient is φ = 91270800.

The previous prime is 330131201. The next prime is 330131227. The reversal of 330131214 is 412131033.

It is an interprime number because it is at equal distance from previous prime (330131201) and next prime (330131227).

It is a super-2 number, since 2×3301312142 = 217973236914227592, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30459 + ... + 39849.

Almost surely, 2330131214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330131214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436389888).

330131214 is an abundant number, since it is smaller than the sum of its proper divisors (542648562).

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

330131214 is a wasteful number, since it uses less digits than its factorization.

330131214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9443 (or 9434 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 330131214 is about 18169.5133121391. The cubic root of 330131214 is about 691.1339011951.

Adding to 330131214 its reverse (412131033), we get a palindrome (742262247).

The spelling of 330131214 in words is "three hundred thirty million, one hundred thirty-one thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 54 62 63 81 93 126 162 186 189 217 279 378 434 558 567 651 837 1134 1302 1674 1953 2511 3906 5022 5859 9391 11718 17577 18782 28173 35154 56346 65737 84519 131474 169038 197211 253557 291121 394422 507114 582242 591633 760671 873363 1183266 1521342 1746726 1774899 2037847 2620089 3549798 4075694 5240178 5324697 6113541 7860267 10649394 12227082 15720534 18340623 23580801 36681246 47161602 55021869 110043738 165065607 330131214