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214006833 = 337926179
BaseRepresentation
bin11001100000101…
…11110000110001
3112220200200012000
430300113300301
5414241204313
633122524213
75206012425
oct1460276061
9486620160
10214006833
11aa88a557
125b806669
133544c881
14205cab85
1513bc4673
hexcc17c31

214006833 has 8 divisors (see below), whose sum is σ = 317047200. Its totient is φ = 142671204.

The previous prime is 214006831. The next prime is 214006841. The reversal of 214006833 is 338600412.

It is a happy number.

It is not a de Polignac number, because 214006833 - 21 = 214006831 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 7926179 = 214006833 / (2 + 1 + 4 + 0 + 0 + 6 + 8 + 3 + 3).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 214006797 and 214006806.

It is not an unprimeable number, because it can be changed into a prime (214006831) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3963063 + ... + 3963116.

It is an arithmetic number, because the mean of its divisors is an integer number (39630900).

Almost surely, 2214006833 is an apocalyptic number.

It is an amenable number.

214006833 is a deficient number, since it is larger than the sum of its proper divisors (103040367).

214006833 is an equidigital number, since it uses as much as digits as its factorization.

214006833 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7926188 (or 7926182 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 214006833 is about 14628.9723835955. The cubic root of 214006833 is about 598.1487691147.

The spelling of 214006833 in words is "two hundred fourteen million, six thousand, eight hundred thirty-three".

Divisors: 1 3 9 27 7926179 23778537 71335611 214006833