| Base | Representation |
|---|---|
| bin | 110100000010111101100101… |
| … | …011001101001110100000000 |
| 3 | 1010000110211000210010022002000 |
| 4 | 310002331211121221310000 |
| 5 | 220000312230203422000 |
| 6 | 2130500041443224000 |
| 7 | 66133423350525204 |
| oct | 6402754531516400 |
| 9 | 1100424023108060 |
| 10 | 228901983264000 |
| 11 | 66a318710a9a72 |
| 12 | 2180a8a3078000 |
| 13 | 9a9549778a657 |
| 14 | 4074cb5086b04 |
| 15 | 1b6e3ec571000 |
| hex | d02f65669d00 |
228901983264000 has 1152 divisors, whose sum is σ = 872779235328000. Its totient is φ = 59020489728000.
The previous prime is 228901983263977. The next prime is 228901983264007. The reversal of 228901983264000 is 462389109822.
228901983264000 is a `hidden beast` number, since 2 + 2 + 8 + 90 + 198 + 326 + 40 + 0 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (1152).
It is a super-2 number, since 2×2289019832640002 (a number of 30 digits) 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 (228901983264007) by changing a digit.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38542173031 + ... + 38542178969.
It is an arithmetic number, because the mean of its divisors is an integer number (757620864000).
Almost surely, 2228901983264000 is an apocalyptic number.
228901983264000 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 228901983264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436389617664000).
228901983264000 is an abundant number, since it is smaller than the sum of its proper divisors (643877252064000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
228901983264000 is a wasteful number, since it uses less digits than its factorization.
228901983264000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7449 (or 7419 counting only the distinct ones).
The product of its (nonzero) digits is 2985984, while the sum is 54.
The spelling of 228901983264000 in words is "two hundred twenty-eight trillion, nine hundred one billion, nine hundred eighty-three million, two hundred sixty-four thousand".
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