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214856317 = 13234715289
BaseRepresentation
bin11001100111001…
…11001001111101
3112222021211110101
430303213021331
5420000400232
633153041101
75216151154
oct1463471175
9488254411
10214856317
1110030a805
125bb56191
1335689420
142076c59b
1513ce11e7
hexcce727d

214856317 has 16 divisors (see below), whose sum is σ = 246597120. Its totient is φ = 185657472.

The previous prime is 214856311. The next prime is 214856399. The reversal of 214856317 is 713658412.

It is not a de Polignac number, because 214856317 - 23 = 214856309 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214856311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6409 + ... + 21697.

It is an arithmetic number, because the mean of its divisors is an integer number (15412320).

Almost surely, 2214856317 is an apocalyptic number.

It is an amenable number.

214856317 is a deficient number, since it is larger than the sum of its proper divisors (31740803).

214856317 is a wasteful number, since it uses less digits than its factorization.

214856317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15372.

The product of its digits is 40320, while the sum is 37.

The square root of 214856317 is about 14657.9779301239. The cubic root of 214856317 is about 598.9391597279.

The spelling of 214856317 in words is "two hundred fourteen million, eight hundred fifty-six thousand, three hundred seventeen".

Divisors: 1 13 23 47 299 611 1081 14053 15289 198757 351647 718583 4571411 9341579 16527409 214856317