| Base | Representation |
|---|---|
| bin | 1100110011100000101… |
| … | …1100000110000000000 |
| 3 | 210000211012020021102000 |
| 4 | 3030320023200300000 |
| 5 | 12101012340431140 |
| 6 | 245020552424000 |
| 7 | 21615312035001 |
| oct | 3147013406000 |
| 9 | 700735207360 |
| 10 | 219985873920 |
| 11 | 8532832207a |
| 12 | 367749a8000 |
| 13 | 1798aabc187 |
| 14 | a90c56b1a8 |
| 15 | 5ac7d4ea30 |
| hex | 33382e0c00 |
219985873920 has 704 divisors, whose sum is σ = 823287024000. Its totient is φ = 55632199680.
The previous prime is 219985873897. The next prime is 219985873927. The reversal of 219985873920 is 29378589912.
219985873920 is a `hidden beast` number, since 2 + 1 + 99 + 85 + 87 + 392 + 0 = 666.
It is a super-2 number, since 2×2199858739202 (a number of 23 digits) contains 22 as substring.
It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.
It is not an unprimeable number, because it can be changed into a prime (219985873927) 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, 209709556 + ... + 209710604.
Almost surely, 2219985873920 is an apocalyptic number.
219985873920 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 219985873920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411643512000).
219985873920 is an abundant number, since it is smaller than the sum of its proper divisors (603301150080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
219985873920 is a wasteful number, since it uses less digits than its factorization.
219985873920 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1161 (or 1137 counting only the distinct ones).
The product of its (nonzero) digits is 19595520, while the sum is 63.
It can be divided in two parts, 2199858 and 73920, that added together give a triangular number (2273778 = T2132).
The spelling of 219985873920 in words is "two hundred nineteen billion, nine hundred eighty-five million, eight hundred seventy-three thousand, nine hundred twenty".
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