| Base | Representation |
|---|---|
| bin | 11001011011101… |
| … | …11101011101000 |
| 3 | 112212110100202020 |
| 4 | 30231313223220 |
| 5 | 414104214034 |
| 6 | 33100504440 |
| 7 | 5200311666 |
| oct | 1455675350 |
| 9 | 485410666 |
| 10 | 213351144 |
| 11 | aa481966 |
| 12 | 5b54b120 |
| 13 | 352802a6 |
| 14 | 20499c36 |
| 15 | 13ae5249 |
| hex | cb77ae8 |
213351144 has 64 divisors (see below), whose sum is σ = 554083200. Its totient is φ = 68377344.
The previous prime is 213351143. The next prime is 213351161. The reversal of 213351144 is 441153312.
It is a happy number.
213351144 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 2×2133511442 = 91037421292217472, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is not an unprimeable number, because it can be changed into a prime (213351143) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220149 + ... + 221115.
It is an arithmetic number, because the mean of its divisors is an integer number (8657550).
Almost surely, 2213351144 is an apocalyptic number.
213351144 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 213351144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277041600).
213351144 is an abundant number, since it is smaller than the sum of its proper divisors (340732056).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
213351144 is a wasteful number, since it uses less digits than its factorization.
213351144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1322 (or 1318 counting only the distinct ones).
The product of its digits is 1440, while the sum is 24.
The square root of 213351144 is about 14606.5445605728. The cubic root of 213351144 is about 597.5372609128.
The spelling of 213351144 in words is "two hundred thirteen million, three hundred fifty-one thousand, one hundred forty-four".
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