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214955008 = 210209917
BaseRepresentation
bin11001100111111…
…11010000000000
3112222110211211121
430303333100000
5420012030013
633155122024
75220041662
oct1463772000
9488424747
10214955008
11100377974
125bba3314
13356c2318
1420796532
1513d1058d
hexccff400

214955008 has 22 divisors (see below), whose sum is σ = 429702146. Its totient is φ = 107476992.

The previous prime is 214954981. The next prime is 214955009. The reversal of 214955008 is 800559412.

It can be written as a sum of positive squares in only one way, i.e., 119071744 + 95883264 = 10912^2 + 9792^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214955009) 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 as a sum of consecutive naturals, namely, 103935 + ... + 105982.

Almost surely, 2214955008 is an apocalyptic number.

It is an amenable number.

214955008 is a deficient number, since it is larger than the sum of its proper divisors (214747138).

214955008 is an equidigital number, since it uses as much as digits as its factorization.

214955008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209937 (or 209919 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 34.

The square root of 214955008 is about 14661.3440038763. The cubic root of 214955008 is about 599.0308502389.

The spelling of 214955008 in words is "two hundred fourteen million, nine hundred fifty-five thousand, eight".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 209917 419834 839668 1679336 3358672 6717344 13434688 26869376 53738752 107477504 214955008