| Base | Representation |
|---|---|
| bin | 111011011001101… |
| … | …1101000110000000 |
| 3 | 12010220120001101020 |
| 4 | 1312303131012000 |
| 5 | 13040224400000 |
| 6 | 525441105440 |
| 7 | 100251630501 |
| oct | 16663350600 |
| 9 | 5126501336 |
| 10 | 1993200000 |
| 11 | 933122730 |
| 12 | 477628280 |
| 13 | 259c361ac |
| 14 | 14ca08ba8 |
| 15 | b9ebcba0 |
| hex | 76cdd180 |
1993200000 has 384 divisors, whose sum is σ = 7267034880. Its totient is φ = 480000000.
The previous prime is 1993199993. The next prime is 1993200007. The reversal of 1993200000 is 23991.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (1993199993) and next prime (1993200007).
It is a tau number, because it is divible by the number of its divisors (384).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1993200007) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13199925 + ... + 13200075.
It is an arithmetic number, because the mean of its divisors is an integer number (18924570).
Almost surely, 21993200000 is an apocalyptic number.
1993200000 is a gapful number since it is divisible by the number (10) 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 1993200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3633517440).
1993200000 is an abundant number, since it is smaller than the sum of its proper divisors (5273834880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1993200000 is an equidigital number, since it uses as much as digits as its factorization.
1993200000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 204 (or 172 counting only the distinct ones).
The product of its (nonzero) digits is 486, while the sum is 24.
The square root of 1993200000 is about 44645.2685063042. The cubic root of 1993200000 is about 1258.4915180093.
Adding to 1993200000 its reverse (23991), we get a palindrome (1993223991).
The spelling of 1993200000 in words is "one billion, nine hundred ninety-three million, two hundred thousand".
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