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214114240 = 265669107
BaseRepresentation
bin11001100001100…
…01111111000000
3112220220010112001
430300301333000
5414303123430
633125113344
75206640524
oct1460617700
9486803461
10214114240
11aa95321a
125b858854
1335489722
1420617d84
1513be63ca
hexcc31fc0

214114240 has 28 divisors (see below), whose sum is σ = 509860296. Its totient is φ = 85645568.

The previous prime is 214114231. The next prime is 214114261. The reversal of 214114240 is 42411412.

214114240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 334234 + ... + 334873.

Almost surely, 2214114240 is an apocalyptic number.

214114240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214114240 is an abundant number, since it is smaller than the sum of its proper divisors (295746056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

214114240 is an equidigital number, since it uses as much as digits as its factorization.

214114240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669124 (or 669114 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 214114240 is about 14632.6429601764. The cubic root of 214114240 is about 598.2488198451.

Adding to 214114240 its reverse (42411412), we get a palindrome (256525652).

It can be divided in two parts, 21411 and 4240, that added together give a triangular number (25651 = T226).

The spelling of 214114240 in words is "two hundred fourteen million, one hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 669107 1338214 2676428 3345535 5352856 6691070 10705712 13382140 21411424 26764280 42822848 53528560 107057120 214114240