| Base | Representation |
|---|---|
| bin | 11001000011010… |
| … | …00111110110000 |
| 3 | 112122102111000120 |
| 4 | 30201220332300 |
| 5 | 412244121300 |
| 6 | 32504050240 |
| 7 | 5131130136 |
| oct | 1441507660 |
| 9 | 478374016 |
| 10 | 210145200 |
| 11 | a8692221 |
| 12 | 5a463980 |
| 13 | 346c9c95 |
| 14 | 1dca3756 |
| 15 | 136b03a0 |
| hex | c868fb0 |
210145200 has 120 divisors (see below), whose sum is σ = 691504848. Its totient is φ = 54512640.
The previous prime is 210145157. The next prime is 210145207. The reversal of 210145200 is 2541012.
It is a tau number, because it is divible by the number of its divisors (120).
It is a super-2 number, since 2×2101452002 = 88322010166080000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 210145200.
It is not an unprimeable number, because it can be changed into a prime (210145207) 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 23 ways as a sum of consecutive naturals, for example, 42034 + ... + 46766.
Almost surely, 2210145200 is an apocalyptic number.
210145200 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 210145200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345752424).
210145200 is an abundant number, since it is smaller than the sum of its proper divisors (481359648).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
210145200 is a wasteful number, since it uses less digits than its factorization.
210145200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4791 (or 4780 counting only the distinct ones).
The product of its (nonzero) digits is 80, while the sum is 15.
The square root of 210145200 is about 14496.3857564567. The cubic root of 210145200 is about 594.5291569636.
Adding to 210145200 its reverse (2541012), we get a palindrome (212686212).
The spelling of 210145200 in words is "two hundred ten million, one hundred forty-five thousand, two hundred".
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