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214534609 = 9721512
BaseRepresentation
bin11001100100110…
…00100111010001
3112221200111011021
430302120213101
5414410101414
633142115441
75213341222
oct1462304721
9487614137
10214534609
11100110033
125ba1bb81
13355a5b73
14206c7249
1513c7ac24
hexcc989d1

214534609 has 9 divisors (see below), whose sum is σ = 218214171. Its totient is φ = 210916800.

The previous prime is 214534559. The next prime is 214534627. The reversal of 214534609 is 906435412.

It is a happy number.

The square root of 214534609 is 14647.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 96334225 + 118200384 = 9815^2 + 10872^2 .

It is not a de Polignac number, because 214534609 - 211 = 214532561 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (214534669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1420684 + ... + 1420834.

It is an arithmetic number, because the mean of its divisors is an integer number (24246019).

Almost surely, 2214534609 is an apocalyptic number.

214534609 is the 14647-th square number.

214534609 is the 7324-th centered octagonal number.

It is an amenable number.

214534609 is a deficient number, since it is larger than the sum of its proper divisors (3679562).

214534609 is an frugal number, since it uses more digits than its factorization.

214534609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The cubic root of 214534609 is about 598.6400764903.

It can be divided in two parts, 21453 and 4609, that added together give a palindrome (26062).

The spelling of 214534609 in words is "two hundred fourteen million, five hundred thirty-four thousand, six hundred nine".

Divisors: 1 97 151 9409 14647 22801 1420759 2211697 214534609