| Base | Representation |
|---|---|
| bin | 11001011001010… |
| … | …01100100100000 |
| 3 | 112211212002212110 |
| 4 | 30230221210200 |
| 5 | 414013444300 |
| 6 | 33045555320 |
| 7 | 5164510134 |
| oct | 1454514440 |
| 9 | 484762773 |
| 10 | 213031200 |
| 11 | aa283548 |
| 12 | 5b415b40 |
| 13 | 3519a785 |
| 14 | 204153c4 |
| 15 | 13a80550 |
| hex | cb29920 |
213031200 has 144 divisors (see below), whose sum is σ = 712454400. Its totient is φ = 55249920.
The previous prime is 213031183. The next prime is 213031207. The reversal of 213031200 is 2130312.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is not an unprimeable number, because it can be changed into a prime (213031207) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87601 + ... + 89999.
It is an arithmetic number, because the mean of its divisors is an integer number (4947600).
Almost surely, 2213031200 is an apocalyptic number.
213031200 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 213031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356227200).
213031200 is an abundant number, since it is smaller than the sum of its proper divisors (499423200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
213031200 is a wasteful number, since it uses less digits than its factorization.
213031200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2459 (or 2446 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 12.
The square root of 213031200 is about 14595.5883745740. The cubic root of 213031200 is about 597.2384200723.
Adding to 213031200 its reverse (2130312), we get a palindrome (215161512).
Multiplying 213031200 by its reverse (2130312), we get a square (453822921734400 = 213031202).
213031200 divided by its reverse (2130312) gives a square (100 = 102).
The spelling of 213031200 in words is "two hundred thirteen million, thirty-one thousand, two hundred".
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