| Base | Representation |
|---|---|
| bin | 100100100000001… |
| … | …1110000101000000 |
| 3 | 10011100210100000000 |
| 4 | 1021000132011000 |
| 5 | 10002031004333 |
| 6 | 321313000000 |
| 7 | 42232065213 |
| oct | 11100360500 |
| 9 | 3140710000 |
| 10 | 1224859968 |
| 11 | 579446472 |
| 12 | 2a2253000 |
| 13 | 1669b9a17 |
| 14 | b896177a |
| 15 | 727eb713 |
| hex | 4901e140 |
1224859968 has 126 divisors (see below), whose sum is σ = 3646936826. Its totient is φ = 408146688.
The previous prime is 1224859957. The next prime is 1224859969. The reversal of 1224859968 is 8699584221.
It is a happy number.
1224859968 is a `hidden beast` number, since 1 + 2 + 2 + 48 + 599 + 6 + 8 = 666.
It can be written as a sum of positive squares in only one way, i.e., 1224440064 + 419904 = 34992^2 + 648^2 .
It is a super-2 number, since 2×12248599682 = 3000563882417922048, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1224859969) by changing a digit.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 418446 + ... + 421362.
Almost surely, 21224859968 is an apocalyptic number.
1224859968 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 1224859968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1823468413).
1224859968 is an abundant number, since it is smaller than the sum of its proper divisors (2422076858).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1224859968 is an frugal number, since it uses more digits than its factorization.
1224859968 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2953 (or 2922 counting only the distinct ones).
The product of its digits is 2488320, while the sum is 54.
The square root of 1224859968 is about 34997.9994856849. Note that the first 3 decimals coincide. The cubic root of 1224859968 is about 1069.9467082667.
The spelling of 1224859968 in words is "one billion, two hundred twenty-four million, eight hundred fifty-nine thousand, nine hundred sixty-eight".
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