| Base | Representation |
|---|---|
| bin | 10111110101101… |
| … | …11100001100000 |
| 3 | 111221022002120100 |
| 4 | 23322313201200 |
| 5 | 402143344102 |
| 6 | 31502142400 |
| 7 | 4645545300 |
| oct | 1372674140 |
| 9 | 457262510 |
| 10 | 199981152 |
| 11 | a297a888 |
| 12 | 56b81a00 |
| 13 | 3257b857 |
| 14 | 1c7b9600 |
| 15 | 12853a1c |
| hex | beb7860 |
199981152 has 216 divisors, whose sum is σ = 681198336. Its totient is φ = 55448064.
The previous prime is 199981151. The next prime is 199981157. The reversal of 199981152 is 251189991.
199981152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×1999811522 = 79984922310494208, which contains 22 as substring.
Its product of digits (58320) is a multiple of the sum of its prime divisors (432).
It is a junction number, because it is equal to n+sod(n) for n = 199981098 and 199981107.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (199981151) by changing a digit.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 521953 + ... + 522335.
It is an arithmetic number, because the mean of its divisors is an integer number (3153696).
Almost surely, 2199981152 is an apocalyptic number.
199981152 is a gapful number since it is divisible by the number (12) 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 199981152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340599168).
199981152 is an abundant number, since it is smaller than the sum of its proper divisors (481217184).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
199981152 is a wasteful number, since it uses less digits than its factorization.
199981152 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 450 (or 432 counting only the distinct ones).
The product of its digits is 58320, while the sum is 45.
The square root of 199981152 is about 14141.4692305998. The cubic root of 199981152 is about 584.7851764367.
The spelling of 199981152 in words is "one hundred ninety-nine million, nine hundred eighty-one thousand, one hundred fifty-two".
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