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214852609 = 2294572053
BaseRepresentation
bin11001100111001…
…10010000000001
3112222021122101001
430303212100001
5420000240414
633153012001
75216134306
oct1463462001
9488248331
10214852609
11100307a44
125bb54001
133568782a
142076b0ad
1513ce0074
hexcce6401

214852609 has 8 divisors (see below), whose sum is σ = 216368360. Its totient is φ = 213342336.

The previous prime is 214852607. The next prime is 214852621. The reversal of 214852609 is 906258412.

It can be written as a sum of positive squares in 4 ways, for example, as 124545600 + 90307009 = 11160^2 + 9503^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 3-Lehmer number, since φ(214852609) divides (214852609-1)3.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 214852609 - 21 = 214852607 is a prime.

It is a deceptive number, since it divides R214852608.

It is not an unprimeable number, because it can be changed into a prime (214852601) 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 7 ways as a sum of consecutive naturals, for example, 103627 + ... + 105679.

It is an arithmetic number, because the mean of its divisors is an integer number (27046045).

It is a Poulet number, since it divides 2214852608-1.

Almost surely, 2214852609 is an apocalyptic number.

It is an amenable number.

214852609 is a deficient number, since it is larger than the sum of its proper divisors (1515751).

214852609 is a wasteful number, since it uses less digits than its factorization.

214852609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2739.

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 214852609 is about 14657.8514455564. The cubic root of 214852609 is about 598.9357142017.

The spelling of 214852609 in words is "two hundred fourteen million, eight hundred fifty-two thousand, six hundred nine".

Divisors: 1 229 457 2053 104653 470137 938221 214852609