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214305147 = 32737891033
BaseRepresentation
bin11001100011000…
…00100101111011
3112221020211101200
430301200211323
5414330231042
633133145243
75211364230
oct1461404573
9487224350
10214305147
11aaa736a1
125b92b223
13355255a4
1420667787
1513c32c4c
hexcc6097b

214305147 has 48 divisors (see below), whose sum is σ = 367773120. Its totient is φ = 117697536.

The previous prime is 214305131. The next prime is 214305167. The reversal of 214305147 is 741503412.

214305147 is a `hidden beast` number, since 2 + 143 + 0 + 514 + 7 = 666.

214305147 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 214305147 - 24 = 214305131 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 214305147.

It is not an unprimeable number, because it can be changed into a prime (214305167) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 206943 + ... + 207975.

It is an arithmetic number, because the mean of its divisors is an integer number (7661940).

Almost surely, 2214305147 is an apocalyptic number.

214305147 is a deficient number, since it is larger than the sum of its proper divisors (153467973).

214305147 is a wasteful number, since it uses less digits than its factorization.

214305147 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 214305147 is about 14639.1648327355. The cubic root of 214305147 is about 598.4265691323.

Adding to 214305147 its reverse (741503412), we get a palindrome (955808559).

The spelling of 214305147 in words is "two hundred fourteen million, three hundred five thousand, one hundred forty-seven".

Divisors: 1 3 7 9 21 37 63 89 111 259 267 333 623 777 801 1033 1869 2331 3099 3293 5607 7231 9297 9879 21693 23051 29637 38221 65079 69153 91937 114663 207459 267547 275811 343989 643559 802641 827433 1930677 2407923 3401669 5792031 10205007 23811683 30615021 71435049 214305147