Base | Representation |
---|---|
bin | 10110001101000111… |
… | …000001110010000000 |
3 | 2021112121102121122210 |
4 | 112031013001302000 |
5 | 342312110004430 |
6 | 14541502302120 |
7 | 1502555630202 |
oct | 261507016200 |
9 | 67477377583 |
10 | 23842266240 |
11 | a125379571 |
12 | 4754887940 |
13 | 232c720260 |
14 | 12226da772 |
15 | 9482352b0 |
hex | 58d1c1c80 |
23842266240 has 512 divisors, whose sum is σ = 84946579200. Its totient is φ = 5651103744.
The previous prime is 23842266211. The next prime is 23842266241. The reversal of 23842266240 is 4266224832.
It is a happy 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 (23842266241) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 88632826 + ... + 88633094.
Almost surely, 223842266240 is an apocalyptic number.
23842266240 is a gapful number since it is divisible by the number (20) 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 23842266240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42473289600).
23842266240 is an abundant number, since it is smaller than the sum of its proper divisors (61104312960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23842266240 is a wasteful number, since it uses less digits than its factorization.
23842266240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 424 (or 412 counting only the distinct ones).
The product of its (nonzero) digits is 221184, while the sum is 39.
The spelling of 23842266240 in words is "twenty-three billion, eight hundred forty-two million, two hundred sixty-six thousand, two hundred forty".
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