| Base | Representation |
|---|---|
| bin | 110011110110101010110100… |
| … | …011001100110011010000000 |
| 3 | 1002220111001111101112202020000 |
| 4 | 303312222310121212122000 |
| 5 | 214342442121210432200 |
| 6 | 2125012010440120000 |
| 7 | 66015406006202631 |
| oct | 6366526431463200 |
| 9 | 1086431441482200 |
| 10 | 228057200092800 |
| 11 | 66736574016991 |
| 12 | 216b301aa66000 |
| 13 | 9a339177ca010 |
| 14 | 40460551b5888 |
| 15 | 1b574578c1300 |
| hex | cf6ab4666680 |
228057200092800 has 1920 divisors, whose sum is σ = 956212385990400. Its totient is φ = 53060338483200.
The previous prime is 228057200092763. The next prime is 228057200092823. The reversal of 228057200092800 is 8290002750822.
228057200092800 is a `hidden beast` number, since 2 + 280 + 5 + 7 + 200 + 0 + 92 + 80 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (1920).
It is a super-2 number, since 2×2280572000928002 (a number of 30 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 29514322537 + ... + 29514330263.
It is an arithmetic number, because the mean of its divisors is an integer number (498027284370).
Almost surely, 2228057200092800 is an apocalyptic number.
228057200092800 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 228057200092800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478106192995200).
228057200092800 is an abundant number, since it is smaller than the sum of its proper divisors (728155185897600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
228057200092800 is a wasteful number, since it uses less digits than its factorization.
228057200092800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8256 (or 8230 counting only the distinct ones).
The product of its (nonzero) digits is 322560, while the sum is 45.
The spelling of 228057200092800 in words is "two hundred twenty-eight trillion, fifty-seven billion, two hundred million, ninety-two thousand, eight hundred".
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