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248196311 = 11178315991
BaseRepresentation
bin11101100101100…
…10110011010111
3122022000200022222
432302302303113
51002014240221
640343412555
76102430256
oct1662626327
9568020288
10248196311
11118111620
126b15415b
133c56072c
1424d6a79d
1516bc99ab
hexecb2cd7

248196311 has 16 divisors (see below), whose sum is σ = 290158848. Its totient is φ = 209788800.

The previous prime is 248196307. The next prime is 248196313. The reversal of 248196311 is 113691842.

It is a cyclic number.

It is not a de Polignac number, because 248196311 - 22 = 248196307 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248196313) 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 15 ways as a sum of consecutive naturals, for example, 7526 + ... + 23516.

It is an arithmetic number, because the mean of its divisors is an integer number (18134928).

Almost surely, 2248196311 is an apocalyptic number.

248196311 is a deficient number, since it is larger than the sum of its proper divisors (41962537).

248196311 is a wasteful number, since it uses less digits than its factorization.

248196311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16102.

The product of its digits is 10368, while the sum is 35.

The square root of 248196311 is about 15754.2473955438. The cubic root of 248196311 is about 628.4418629864.

The spelling of 248196311 in words is "two hundred forty-eight million, one hundred ninety-six thousand, three hundred eleven".

Divisors: 1 11 17 83 187 913 1411 15521 15991 175901 271847 1327253 2990317 14599783 22563301 248196311