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214130441 = 735311779
BaseRepresentation
bin11001100001101…
…01111100001001
3112220220221202002
430300311330021
5414304133231
633125320345
75210036000
oct1460657411
9486827662
10214130441
11aa964408
125b8660b5
1335493c05
142061dc37
1513beb0cb
hexcc35f09

214130441 has 16 divisors (see below), whose sum is σ = 254448000. Its totient is φ = 180062064.

The previous prime is 214130431. The next prime is 214130443. The reversal of 214130441 is 144031412.

214130441 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 214130441 - 226 = 147021577 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (214130443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12290 + ... + 24068.

It is an arithmetic number, because the mean of its divisors is an integer number (15903000).

Almost surely, 2214130441 is an apocalyptic number.

It is an amenable number.

214130441 is a deficient number, since it is larger than the sum of its proper divisors (40317559).

214130441 is an equidigital number, since it uses as much as digits as its factorization.

214130441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11853 (or 11839 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 214130441 is about 14633.1965407426. The cubic root of 214130441 is about 598.2639083398.

Adding to 214130441 its reverse (144031412), we get a palindrome (358161853).

The spelling of 214130441 in words is "two hundred fourteen million, one hundred thirty thousand, four hundred forty-one".

Divisors: 1 7 49 53 343 371 2597 11779 18179 82453 577171 624287 4040197 4370009 30590063 214130441