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214666641 = 32733710111
BaseRepresentation
bin11001100101110…
…00110110010001
3112221221012021100
430302320312101
5414423313031
633145015013
75214431160
oct1462706621
9487835240
10214666641
111001a0252
125ba84469
1335620ca7
142071d3d7
1513ca4de6
hexccb8d91

214666641 has 24 divisors (see below), whose sum is σ = 355457024. Its totient is φ = 122290560.

The previous prime is 214666631. The next prime is 214666657. The reversal of 214666641 is 146666412.

214666641 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 214666641 - 25 = 214666609 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 214666596 and 214666605.

It is not an unprimeable number, because it can be changed into a prime (214666631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16176 + ... + 26286.

Almost surely, 2214666641 is an apocalyptic number.

214666641 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

214666641 is a deficient number, since it is larger than the sum of its proper divisors (140790383).

214666641 is a wasteful number, since it uses less digits than its factorization.

214666641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10461 (or 10458 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 214666641 is about 14651.5064413186. The cubic root of 214666641 is about 598.7628592244.

The spelling of 214666641 in words is "two hundred fourteen million, six hundred sixty-six thousand, six hundred forty-one".

Divisors: 1 3 7 9 21 63 337 1011 2359 3033 7077 10111 21231 30333 70777 90999 212331 636993 3407407 10222221 23851849 30666663 71555547 214666641