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215414329 = 13211292
BaseRepresentation
bin11001101011011…
…11011000111001
3120000100011220111
430311233120321
5420121224304
633213024321
75223664054
oct1465573071
9500304814
10215414329
11100660a79
12601850a1
1335823400
1420875a9b
1513da1704
hexcd6f639

215414329 has 9 divisors (see below), whose sum is σ = 233466093. Its totient is φ = 198667872.

The previous prime is 215414263. The next prime is 215414341. The reversal of 215414329 is 923414512.

The square root of 215414329 is 14677.

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

It can be written as a sum of positive squares in 4 ways, for example, as 128029225 + 87385104 = 11315^2 + 9348^2 .

It is not a de Polignac number, because 215414329 - 27 = 215414201 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 215414329.

It is not an unprimeable number, because it can be changed into a prime (215414029) 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 8 ways as a sum of consecutive naturals, for example, 190237 + ... + 191365.

It is an arithmetic number, because the mean of its divisors is an integer number (25940677).

Almost surely, 2215414329 is an apocalyptic number.

215414329 is the 14677-th square number.

215414329 is the 7339-th centered octagonal number.

It is an amenable number.

215414329 is a deficient number, since it is larger than the sum of its proper divisors (18051764).

215414329 is an frugal number, since it uses more digits than its factorization.

215414329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2284 (or 1142 counting only the distinct ones).

The product of its digits is 8640, while the sum is 31.

The cubic root of 215414329 is about 599.4572211703.

The spelling of 215414329 in words is "two hundred fifteen million, four hundred fourteen thousand, three hundred twenty-nine".

Divisors: 1 13 169 1129 14677 190801 1274641 16570333 215414329