Base | Representation |
---|---|
bin | 11100100000010… |
… | …11100011100000 |
3 | 121122221200121200 |
4 | 32100023203200 |
5 | 442203411111 |
6 | 35421121200 |
7 | 5632336413 |
oct | 1620134340 |
9 | 548850550 |
10 | 239122656 |
11 | 112a84433 |
12 | 680b9200 |
13 | 3a7046c6 |
14 | 23a87b7a |
15 | 15ed6256 |
hex | e40b8e0 |
239122656 has 72 divisors (see below), whose sum is σ = 695855160. Its totient is φ = 77849856.
The previous prime is 239122649. The next prime is 239122717. The reversal of 239122656 is 656221932.
239122656 is a `hidden beast` number, since 2 + 391 + 2 + 265 + 6 = 666.
It is a tau number, because it is divible by the number of its divisors (72).
It is a super-2 number, since 2×2391226562 = 114359289224988672, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 239122656.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2730 + ... + 22038.
It is an arithmetic number, because the mean of its divisors is an integer number (9664655).
Almost surely, 2239122656 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 239122656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347927580).
239122656 is an abundant number, since it is smaller than the sum of its proper divisors (456732504).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
239122656 is a wasteful number, since it uses less digits than its factorization.
239122656 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 19368 (or 19357 counting only the distinct ones).
The product of its digits is 38880, while the sum is 36.
The square root of 239122656 is about 15463.5913034457. The cubic root of 239122656 is about 620.6883232973.
It can be divided in two parts, 239122 and 656, that added together give a triangular number (239778 = T692).
The spelling of 239122656 in words is "two hundred thirty-nine million, one hundred twenty-two thousand, six hundred fifty-six".
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