| Base | Representation |
|---|---|
| bin | 1000011000011011… |
| … | …1110110010000000 |
| 3 | 12210210201200011000 |
| 4 | 2012012332302000 |
| 5 | 14101443230320 |
| 6 | 1011132452000 |
| 7 | 106520326410 |
| oct | 20606766200 |
| 9 | 5723650130 |
| 10 | 2249976960 |
| 11 | a55064aa0 |
| 12 | 52961a000 |
| 13 | 29b1ac41a |
| 14 | 174b6a640 |
| 15 | d27dec90 |
| hex | 861bec80 |
2249976960 has 1024 divisors, whose sum is σ = 10575360000. Its totient is φ = 437944320.
The previous prime is 2249976943. The next prime is 2249976961. The reversal of 2249976960 is 696799422.
2249976960 = 4352 + 4362 + ... + 18972.
2249976960 is a `hidden beast` number, since 22 + 499 + 76 + 9 + 60 = 666.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 2249976897 and 2249976906.
It is not an unprimeable number, because it can be changed into a prime (2249976961) 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 127 ways as a sum of consecutive naturals, for example, 25280596 + ... + 25280684.
It is an arithmetic number, because the mean of its divisors is an integer number (10327500).
Almost surely, 22249976960 is an apocalyptic number.
2249976960 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 2249976960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5287680000).
2249976960 is an abundant number, since it is smaller than the sum of its proper divisors (8325383040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2249976960 is a wasteful number, since it uses less digits than its factorization.
2249976960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 154 (or 136 counting only the distinct ones).
The product of its (nonzero) digits is 2939328, while the sum is 54.
The square root of 2249976960 is about 47433.9220389797. The cubic root of 2249976960 is about 1310.3662243572.
The spelling of 2249976960 in words is "two billion, two hundred forty-nine million, nine hundred seventy-six thousand, nine hundred sixty".
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