Search a number
-
+
248218764 = 22320684897
BaseRepresentation
bin11101100101110…
…00010010001100
3122022001211010120
432302320102030
51002021000024
640344104540
76102552603
oct1662702214
9568054116
10248218764
11118127482
126b165150
133c56aa11
1424d74a3a
1516bd1479
hexecb848c

248218764 has 12 divisors (see below), whose sum is σ = 579177144. Its totient is φ = 82739584.

The previous prime is 248218757. The next prime is 248218771. The reversal of 248218764 is 467812842.

248218764 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (248218757) and next prime (248218771).

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×2482187642 = 123225109603375392, which contains 22 as substring.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 10342437 + ... + 10342460.

It is an arithmetic number, because the mean of its divisors is an integer number (48264762).

Almost surely, 2248218764 is an apocalyptic number.

It is an amenable number.

248218764 is an abundant number, since it is smaller than the sum of its proper divisors (330958380).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

248218764 is a wasteful number, since it uses less digits than its factorization.

248218764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20684904 (or 20684902 counting only the distinct ones).

The product of its digits is 172032, while the sum is 42.

The square root of 248218764 is about 15754.9599809076. The cubic root of 248218764 is about 628.4608130125.

The spelling of 248218764 in words is "two hundred forty-eight million, two hundred eighteen thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 12 20684897 41369794 62054691 82739588 124109382 248218764