| Base | Representation |
|---|---|
| bin | 11001010101101… |
| … | …00100000000000 |
| 3 | 112210221202002110 |
| 4 | 30222310200000 |
| 5 | 413403123210 |
| 6 | 33031415320 |
| 7 | 5160442125 |
| oct | 1452644000 |
| 9 | 483852073 |
| 10 | 212551680 |
| 11 | a9a86250 |
| 12 | 5b224540 |
| 13 | 35060433 |
| 14 | 2032c74c |
| 15 | 139d8420 |
| hex | cab4800 |
212551680 has 384 divisors, whose sum is σ = 806682240. Its totient is φ = 47185920.
The previous prime is 212551679. The next prime is 212551681. The reversal of 212551680 is 86155212.
It is an interprime number because it is at equal distance from previous prime (212551679) and next prime (212551681).
It is a tau number, because it is divible by the number of its divisors (384).
It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (212551681) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5744622 + ... + 5744658.
It is an arithmetic number, because the mean of its divisors is an integer number (2100735).
Almost surely, 2212551680 is an apocalyptic number.
212551680 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 212551680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403341120).
212551680 is an abundant number, since it is smaller than the sum of its proper divisors (594130560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
212551680 is a wasteful number, since it uses less digits than its factorization.
212551680 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 95 (or 75 counting only the distinct ones).
The product of its (nonzero) digits is 4800, while the sum is 30.
The square root of 212551680 is about 14579.1522387277. The cubic root of 212551680 is about 596.7899678946.
The spelling of 212551680 in words is "two hundred twelve million, five hundred fifty-one thousand, six hundred eighty".
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