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214480665 = 32572953443
BaseRepresentation
bin11001100100010…
…11011100011001
3112221120202011100
430302023130121
5414401340130
633141022013
75213025030
oct1462133431
9487522140
10214480665
11100083553
125b9b4909
1335587449
14206b1717
1513c69c60
hexcc8b719

214480665 has 96 divisors (see below), whose sum is σ = 448830720. Its totient is φ = 92671488.

The previous prime is 214480657. The next prime is 214480691. The reversal of 214480665 is 566084412.

214480665 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 214480665 - 23 = 214480657 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 483934 + ... + 484376.

It is an arithmetic number, because the mean of its divisors is an integer number (4675320).

Almost surely, 2214480665 is an apocalyptic number.

It is an amenable number.

214480665 is an abundant number, since it is smaller than the sum of its proper divisors (234350055).

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

214480665 is a wasteful number, since it uses less digits than its factorization.

214480665 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 214480665 is about 14645.1584149848. The cubic root of 214480665 is about 598.5898969451.

The spelling of 214480665 in words is "two hundred fourteen million, four hundred eighty thousand, six hundred sixty-five".

Divisors: 1 3 5 7 9 15 21 29 35 45 53 63 87 105 145 159 203 261 265 315 371 435 443 477 609 795 1015 1113 1305 1329 1537 1827 1855 2215 2385 3045 3101 3339 3987 4611 5565 6645 7685 9135 9303 10759 12847 13833 15505 16695 19935 23055 23479 27909 32277 38541 46515 53795 64235 69165 70437 89929 96831 115623 117395 139545 161385 164353 192705 211311 269787 352185 449645 484155 493059 578115 680891 809361 821765 1056555 1348935 1479177 2042673 2465295 3404455 4046805 4766237 6128019 7395885 10213365 14298711 23831185 30640095 42896133 71493555 214480665