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214663230 = 23352633023
BaseRepresentation
bin11001100101110…
…00000000111110
3112221221000121000
430302320000332
5414423210410
633144551130
75214415215
oct1462700076
9487830530
10214663230
11100198731
125ba824a6
133561c582
142071c07c
1513ca3dc0
hexccb803e

214663230 has 64 divisors (see below), whose sum is σ = 574801920. Its totient is φ = 57007008.

The previous prime is 214663219. The next prime is 214663297. The reversal of 214663230 is 32366412.

214663230 is a `hidden beast` number, since 21 + 4 + 6 + 632 + 3 + 0 = 666.

214663230 is digitally balanced in base 3, 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 (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 214663194 and 214663203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69499 + ... + 72521.

It is an arithmetic number, because the mean of its divisors is an integer number (8981280).

Almost surely, 2214663230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214663230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287400960).

214663230 is an abundant number, since it is smaller than the sum of its proper divisors (360138690).

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

214663230 is a wasteful number, since it uses less digits than its factorization.

214663230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3302 (or 3296 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 214663230 is about 14651.3900364436. The cubic root of 214663230 is about 598.7596878095.

The spelling of 214663230 in words is "two hundred fourteen million, six hundred sixty-three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 263 270 526 789 1315 1578 2367 2630 3023 3945 4734 6046 7101 7890 9069 11835 14202 15115 18138 23670 27207 30230 35505 45345 54414 71010 81621 90690 136035 163242 272070 408105 795049 816210 1590098 2385147 3975245 4770294 7155441 7950490 11925735 14310882 21466323 23851470 35777205 42932646 71554410 107331615 214663230