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214046289 = 32314631657
BaseRepresentation
bin11001100001000…
…01011001010001
3112220202200022100
430300201121101
5414243440124
633123431013
75206235442
oct1460413121
9486680270
10214046289
11aa907166
125b825469
1335464812
14205db2c9
1513bd11c9
hexcc21651

214046289 has 24 divisors (see below), whose sum is σ = 320033792. Its totient is φ = 137712960.

The previous prime is 214046263. The next prime is 214046291. The reversal of 214046289 is 982640412.

214046289 is a `hidden beast` number, since 21 + 4 + 0 + 4 + 628 + 9 = 666.

It is not a de Polignac number, because 214046289 - 28 = 214046033 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (214046299) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128349 + ... + 130005.

Almost surely, 2214046289 is an apocalyptic number.

It is an amenable number.

214046289 is a deficient number, since it is larger than the sum of its proper divisors (105987503).

214046289 is a wasteful number, since it uses less digits than its factorization.

214046289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2157 (or 2154 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 214046289 is about 14630.3208782309. The cubic root of 214046289 is about 598.1855266756.

The spelling of 214046289 in words is "two hundred fourteen million, forty-six thousand, two hundred eighty-nine".

Divisors: 1 3 9 31 93 279 463 1389 1657 4167 4971 14353 14913 43059 51367 129177 154101 462303 767191 2301573 6904719 23782921 71348763 214046289