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214932105 = 32517280957
BaseRepresentation
bin11001100111110…
…01101010001001
3112222102200102100
430303321222021
5420010311410
633154424013
75216615133
oct1463715211
9488380370
10214932105
11100361743
125bb92009
13356b4a7b
142078c053
1513d088c0
hexccf9a89

214932105 has 24 divisors (see below), whose sum is σ = 394465032. Its totient is φ = 107887104.

The previous prime is 214932089. The next prime is 214932121. The reversal of 214932105 is 501239412.

It is an interprime number because it is at equal distance from previous prime (214932089) and next prime (214932121).

It can be written as a sum of positive squares in 4 ways, for example, as 7485696 + 207446409 = 2736^2 + 14403^2 .

It is not a de Polignac number, because 214932105 - 24 = 214932089 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139714 + ... + 141243.

It is an arithmetic number, because the mean of its divisors is an integer number (16436043).

Almost surely, 2214932105 is an apocalyptic number.

It is an amenable number.

214932105 is a deficient number, since it is larger than the sum of its proper divisors (179532927).

214932105 is a wasteful number, since it uses less digits than its factorization.

214932105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280985 (or 280982 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 214932105 is about 14660.5629155227. The cubic root of 214932105 is about 599.0095743279.

The spelling of 214932105 in words is "two hundred fourteen million, nine hundred thirty-two thousand, one hundred five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 280957 842871 1404785 2528613 4214355 4776269 12643065 14328807 23881345 42986421 71644035 214932105