| Base | Representation |
|---|---|
| bin | 11001010100000… |
| … | …00100001110000 |
| 3 | 112210112221002000 |
| 4 | 30222000201300 |
| 5 | 413324320200 |
| 6 | 33023054000 |
| 7 | 5155564362 |
| oct | 1452004160 |
| 9 | 483487060 |
| 10 | 212338800 |
| 11 | a9950313 |
| 12 | 5b141300 |
| 13 | 34cb757b |
| 14 | 202b4d32 |
| 15 | 13995300 |
| hex | ca80870 |
212338800 has 120 divisors (see below), whose sum is σ = 755807280. Its totient is φ = 56620800.
The previous prime is 212338799. The next prime is 212338801. The reversal of 212338800 is 8833212.
212338800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (212338799) and next prime (212338801).
It is a tau number, because it is divible by the number of its divisors (120).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (212338801) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 970 + ... + 20630.
It is an arithmetic number, because the mean of its divisors is an integer number (6298394).
Almost surely, 2212338800 is an apocalyptic number.
212338800 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 212338800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377903640).
212338800 is an abundant number, since it is smaller than the sum of its proper divisors (543468480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
212338800 is a wasteful number, since it uses less digits than its factorization.
212338800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 19688 (or 19671 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 27.
The square root of 212338800 is about 14571.8495737501. The cubic root of 212338800 is about 596.5906640741.
The spelling of 212338800 in words is "two hundred twelve million, three hundred thirty-eight thousand, eight hundred".
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