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214003314 = 23274736137
BaseRepresentation
bin11001100000101…
…10111001110010
3112220200111100200
430300112321302
5414241101224
633122500030
75205666240
oct1460267162
9486614320
10214003314
11aa887948
125b804616
133544b0a5
14205c9790
1513bc35c9
hexcc16e72

214003314 has 48 divisors (see below), whose sum is σ = 541202688. Its totient is φ = 59841216.

The previous prime is 214003291. The next prime is 214003331. The reversal of 214003314 is 413300412.

214003314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12147 + ... + 23990.

It is an arithmetic number, because the mean of its divisors is an integer number (11275056).

Almost surely, 2214003314 is an apocalyptic number.

214003314 is an abundant number, since it is smaller than the sum of its proper divisors (327199374).

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

214003314 is a wasteful number, since it uses less digits than its factorization.

214003314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36199 (or 36196 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 214003314 is about 14628.8521080774. The cubic root of 214003314 is about 598.1454905635.

Adding to 214003314 its reverse (413300412), we get a palindrome (627303726).

The spelling of 214003314 in words is "two hundred fourteen million, three thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 47 63 94 126 141 282 329 423 658 846 987 1974 2961 5922 36137 72274 108411 216822 252959 325233 505918 650466 758877 1517754 1698439 2276631 3396878 4553262 5095317 10190634 11889073 15285951 23778146 30571902 35667219 71334438 107001657 214003314