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248216365 = 52911315149
BaseRepresentation
bin11101100101101…
…11101100101101
3122022001200211201
432302313230231
51002020410430
640344045501
76102542605
oct1662675455
9568050751
10248216365
111181256a1
126b163891
133c5698b7
1424d73c05
1516bd08ca
hexecb7b2d

248216365 has 16 divisors (see below), whose sum is σ = 310878000. Its totient is φ = 190016512.

The previous prime is 248216359. The next prime is 248216369. The reversal of 248216365 is 563612842.

It can be written as a sum of positive squares in 8 ways, for example, as 19027044 + 229189321 = 4362^2 + 15139^2 .

It is a cyclic number.

It is not a de Polignac number, because 248216365 - 25 = 248216333 is a prime.

It is a super-2 number, since 2×2482163652 = 123222727707626450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248216369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8811 + ... + 23959.

It is an arithmetic number, because the mean of its divisors is an integer number (19429875).

Almost surely, 2248216365 is an apocalyptic number.

It is an amenable number.

248216365 is a deficient number, since it is larger than the sum of its proper divisors (62661635).

248216365 is a wasteful number, since it uses less digits than its factorization.

248216365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15296.

The product of its digits is 69120, while the sum is 37.

The square root of 248216365 is about 15754.8838459698. The cubic root of 248216365 is about 628.4587883437.

The spelling of 248216365 in words is "two hundred forty-eight million, two hundred sixteen thousand, three hundred sixty-five".

Divisors: 1 5 29 113 145 565 3277 15149 16385 75745 439321 1711837 2196605 8559185 49643273 248216365