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214024417 = 1947613929
BaseRepresentation
bin11001100000111…
…00000011100001
3112220201120022021
430300130003201
5414242240132
633123141441
75206114615
oct1460340341
9486646267
10214024417
11aa8a1792
125b814881
1335457889
14205d3345
1513bc9997
hexcc1c0e1

214024417 has 16 divisors (see below), whose sum is σ = 233913600. Its totient is φ = 195143040.

The previous prime is 214024411. The next prime is 214024423. The reversal of 214024417 is 714420412.

It is an interprime number because it is at equal distance from previous prime (214024411) and next prime (214024423).

It is a cyclic number.

It is not a de Polignac number, because 214024417 - 215 = 213991649 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 214024391 and 214024400.

It is not an unprimeable number, because it can be changed into a prime (214024411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52509 + ... + 56437.

It is an arithmetic number, because the mean of its divisors is an integer number (14619600).

Almost surely, 2214024417 is an apocalyptic number.

It is an amenable number.

214024417 is a deficient number, since it is larger than the sum of its proper divisors (19889183).

214024417 is a wasteful number, since it uses less digits than its factorization.

214024417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4056.

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 214024417 is about 14629.5733704028. The cubic root of 214024417 is about 598.1651510837.

Adding to 214024417 its reverse (714420412), we get a palindrome (928444829).

The spelling of 214024417 in words is "two hundred fourteen million, twenty-four thousand, four hundred seventeen".

Divisors: 1 19 47 61 893 1159 2867 3929 54473 74651 184663 239669 3508597 4553711 11264443 214024417