| Base | Representation |
|---|---|
| bin | 100100011110100… |
| … | …0010010110100000 |
| 3 | 10011022002121102200 |
| 4 | 1020331002112200 |
| 5 | 10001313204333 |
| 6 | 321241413200 |
| 7 | 42221326260 |
| oct | 11075022640 |
| 9 | 3138077380 |
| 10 | 1223959968 |
| 11 | 578991270 |
| 12 | 2a1a9a200 |
| 13 | 16676318a |
| 14 | b87a97a0 |
| 15 | 726bec13 |
| hex | 48f425a0 |
1223959968 has 288 divisors, whose sum is σ = 4391936640. Its totient is φ = 314081280.
The previous prime is 1223959967. The next prime is 1223960009. The reversal of 1223959968 is 8699593221.
It is a happy number.
1223959968 is a `hidden beast` number, since 12 + 2 + 39 + 599 + 6 + 8 = 666.
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-2 number, since 2×12239599682 = 2996156006533122048, which contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (1223959967) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2150788 + ... + 2151356.
It is an arithmetic number, because the mean of its divisors is an integer number (15249780).
Almost surely, 21223959968 is an apocalyptic number.
1223959968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1223959968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2195968320).
1223959968 is an abundant number, since it is smaller than the sum of its proper divisors (3167976672).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1223959968 is a wasteful number, since it uses less digits than its factorization.
1223959968 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 700 (or 689 counting only the distinct ones).
The product of its digits is 2099520, while the sum is 54.
The square root of 1223959968 is about 34985.1392451138. The cubic root of 1223959968 is about 1069.6845863342.
It can be divided in two parts, 1223 and 959968, that added together give a triangular number (961191 = T1386).
The spelling of 1223959968 in words is "one billion, two hundred twenty-three million, nine hundred fifty-nine thousand, nine hundred sixty-eight".
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