| Base | Representation |
|---|---|
| bin | 11001001100110… |
| … | …01110011000000 |
| 3 | 112201202220200100 |
| 4 | 30212121303000 |
| 5 | 413104044403 |
| 6 | 32550522400 |
| 7 | 5144550150 |
| oct | 1446316300 |
| 9 | 481686610 |
| 10 | 211393728 |
| 11 | a9365267 |
| 12 | 5a966400 |
| 13 | 34a46360 |
| 14 | 2010a760 |
| 15 | 1385a2a3 |
| hex | c999cc0 |
211393728 has 336 divisors, whose sum is σ = 772932160. Its totient is φ = 53747712.
The previous prime is 211393727. The next prime is 211393729. The reversal of 211393728 is 827393112.
It is an interprime number because it is at equal distance from previous prime (211393727) and next prime (211393729).
It is a tau number, because it is divible by the number of its divisors (336).
It is a hoax number, since the sum of its digits (36) 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 (36).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 211393692 and 211393701.
It is not an unprimeable number, because it can be changed into a prime (211393727) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1939338 + ... + 1939446.
Almost surely, 2211393728 is an apocalyptic number.
211393728 is a gapful number since it is divisible by the number (28) 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 211393728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386466080).
211393728 is an abundant number, since it is smaller than the sum of its proper divisors (561538432).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
211393728 is a wasteful number, since it uses less digits than its factorization.
211393728 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 184 (or 171 counting only the distinct ones).
The product of its digits is 18144, while the sum is 36.
The square root of 211393728 is about 14539.3854065432. The cubic root of 211393728 is about 595.7042509665.
The spelling of 211393728 in words is "two hundred eleven million, three hundred ninety-three thousand, seven hundred twenty-eight".
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