Base | Representation |
---|---|
bin | 1110100100110… |
… | …01100001100000 |
3 | 22112001122012021 |
4 | 13102121201200 |
5 | 222244414043 |
6 | 20044311224 |
7 | 3013136533 |
oct | 722314140 |
9 | 275048167 |
10 | 122263648 |
11 | 63018541 |
12 | 34b42514 |
13 | 1c43a370 |
14 | 12348a1a |
15 | ab013ed |
hex | 7499860 |
122263648 has 48 divisors (see below), whose sum is σ = 262419696. Its totient is φ = 55733760.
The previous prime is 122263637. The next prime is 122263649. The reversal of 122263648 is 846362221.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (122263649) by changing a digit.
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 7 ways as a sum of consecutive naturals, for example, 32758 + ... + 36298.
It is an arithmetic number, because the mean of its divisors is an integer number (5467077).
Almost surely, 2122263648 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 122263648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131209848).
122263648 is an abundant number, since it is smaller than the sum of its proper divisors (140156048).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122263648 is a wasteful number, since it uses less digits than its factorization.
122263648 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3647 (or 3639 counting only the distinct ones).
The product of its digits is 27648, while the sum is 34.
The square root of 122263648 is about 11057.2893604174. The cubic root of 122263648 is about 496.3245794343.
The spelling of 122263648 in words is "one hundred twenty-two million, two hundred sixty-three thousand, six hundred forty-eight".
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