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248222793 = 3713909241
BaseRepresentation
bin11101100101110…
…01010001001001
3122022002000122210
432302321101021
51002021112133
640344135333
76102600420
oct1662712111
9568060583
10248222793
1111812a505
126b167549
133c56c7c0
1424d762b7
1516bd2763
hexecb9449

248222793 has 16 divisors (see below), whose sum is σ = 407340416. Its totient is φ = 130930560.

The previous prime is 248222753. The next prime is 248222801. The reversal of 248222793 is 397222842.

248222793 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 248222793 - 210 = 248221769 is a prime.

It is a super-3 number, since 3×2482227933 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (248222743) 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, 454348 + ... + 454893.

It is an arithmetic number, because the mean of its divisors is an integer number (25458776).

Almost surely, 2248222793 is an apocalyptic number.

It is an amenable number.

248222793 is a deficient number, since it is larger than the sum of its proper divisors (159117623).

248222793 is a wasteful number, since it uses less digits than its factorization.

248222793 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909264.

The product of its digits is 96768, while the sum is 39.

The square root of 248222793 is about 15755.0878448836. The cubic root of 248222793 is about 628.4642133126.

The spelling of 248222793 in words is "two hundred forty-eight million, two hundred twenty-two thousand, seven hundred ninety-three".

Divisors: 1 3 7 13 21 39 91 273 909241 2727723 6364687 11820133 19094061 35460399 82740931 248222793