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215352513 = 349727409
BaseRepresentation
bin11001101011000…
…00010011000001
3120000020001010000
430311200103001
5420112240023
633211430213
75223315615
oct1465402301
9500201100
10215352513
11100619592
1260155369
133580122c
142085b345
1513d8d243
hexcd604c1

215352513 has 20 divisors (see below), whose sum is σ = 325027780. Its totient is φ = 142083072.

The previous prime is 215352497. The next prime is 215352559. The reversal of 215352513 is 315253512.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 43401744 + 171950769 = 6588^2 + 13113^2 .

It is not a de Polignac number, because 215352513 - 24 = 215352497 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (215352113) 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 19 ways as a sum of consecutive naturals, for example, 5848 + ... + 21561.

It is an arithmetic number, because the mean of its divisors is an integer number (16251389).

Almost surely, 2215352513 is an apocalyptic number.

It is an amenable number.

215352513 is a deficient number, since it is larger than the sum of its proper divisors (109675267).

215352513 is an equidigital number, since it uses as much as digits as its factorization.

215352513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27518 (or 27509 counting only the distinct ones).

The product of its digits is 4500, while the sum is 27.

The square root of 215352513 is about 14674.8939689526. The cubic root of 215352513 is about 599.3998749500.

Subtracting 215352513 from its reverse (315253512), we obtain a palindrome (99900999).

The spelling of 215352513 in words is "two hundred fifteen million, three hundred fifty-two thousand, five hundred thirteen".

Divisors: 1 3 9 27 81 97 291 873 2619 7857 27409 82227 246681 740043 2220129 2658673 7976019 23928057 71784171 215352513