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248205335 = 5726071669
BaseRepresentation
bin11101100101101…
…01000000010111
3122022001010201012
432302311000113
51002020032320
640343522435
76102465500
oct1662650027
9568033635
10248205335
11118118384
126b15941b
133c564881
1424d6dba7
1516bcc4c5
hexecb5017

248205335 has 24 divisors (see below), whose sum is σ = 347253120. Its totient is φ = 169815744.

The previous prime is 248205289. The next prime is 248205359. The reversal of 248205335 is 533502842.

248205335 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-248205335 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147881 + ... + 149549.

It is an arithmetic number, because the mean of its divisors is an integer number (14468880).

Almost surely, 2248205335 is an apocalyptic number.

248205335 is a deficient number, since it is larger than the sum of its proper divisors (99047785).

248205335 is a wasteful number, since it uses less digits than its factorization.

248205335 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2295 (or 2288 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 248205335 is about 15754.5337918962. The cubic root of 248205335 is about 628.4494792568.

The spelling of 248205335 in words is "two hundred forty-eight million, two hundred five thousand, three hundred thirty-five".

Divisors: 1 5 7 35 49 245 607 1669 3035 4249 8345 11683 21245 29743 58415 81781 148715 408905 1013083 5065415 7091581 35457905 49641067 248205335