| Base | Representation |
|---|---|
| bin | 11000000101000… |
| … | …11011101110000 |
| 3 | 112002002110121200 |
| 4 | 30002203131300 |
| 5 | 403202334034 |
| 6 | 32013251200 |
| 7 | 5001640020 |
| oct | 1402433560 |
| 9 | 462073550 |
| 10 | 201996144 |
| 11 | a4026769 |
| 12 | 57793b00 |
| 13 | 32b05a5c |
| 14 | 1cb81a80 |
| 15 | 12b00a99 |
| hex | c0a3770 |
201996144 has 240 divisors, whose sum is σ = 696384000. Its totient is φ = 53374464.
The previous prime is 201996139. The next prime is 201996149. The reversal of 201996144 is 441699102.
It is a happy number.
201996144 is a `hidden beast` number, since 20 + 19 + 9 + 614 + 4 = 666.
It is an interprime number because it is at equal distance from previous prime (201996139) and next prime (201996149).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 201996099 and 201996108.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (201996149) 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, 1014957 + ... + 1015155.
It is an arithmetic number, because the mean of its divisors is an integer number (2901600).
Almost surely, 2201996144 is an apocalyptic number.
201996144 is a gapful number since it is divisible by the number (24) 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 201996144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348192000).
201996144 is an abundant number, since it is smaller than the sum of its proper divisors (494387856).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
201996144 is a wasteful number, since it uses less digits than its factorization.
201996144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 292 (or 283 counting only the distinct ones).
The product of its (nonzero) digits is 15552, while the sum is 36.
The square root of 201996144 is about 14212.5347492979. The cubic root of 201996144 is about 586.7426973317.
The spelling of 201996144 in words is "two hundred one million, nine hundred ninety-six thousand, one hundred forty-four".
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