| Base | Representation |
|---|---|
| bin | 11011001100011… |
| … | …00110001100000 |
| 3 | 120220020120112000 |
| 4 | 31212030301200 |
| 5 | 431344230400 |
| 6 | 34345204000 |
| 7 | 5436652614 |
| oct | 1546146140 |
| 9 | 526216460 |
| 10 | 228117600 |
| 11 | 107848147 |
| 12 | 64490600 |
| 13 | 38350539 |
| 14 | 22421344 |
| 15 | 15060600 |
| hex | d98cc60 |
228117600 has 288 divisors, whose sum is σ = 843696000. Its totient is φ = 59466240.
The previous prime is 228117599. The next prime is 228117601. The reversal of 228117600 is 6711822.
228117600 = T319 + T320 + ... + T1118.
It is an interprime number because it is at equal distance from previous prime (228117599) and next prime (228117601).
It is a tau number, because it is divible by the number of its divisors (288).
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 (228117601) 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, 1274311 + ... + 1274489.
It is an arithmetic number, because the mean of its divisors is an integer number (2929500).
Almost surely, 2228117600 is an apocalyptic number.
228117600 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 228117600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421848000).
228117600 is an abundant number, since it is smaller than the sum of its proper divisors (615578400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
228117600 is a wasteful number, since it uses less digits than its factorization.
228117600 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 267 (or 248 counting only the distinct ones).
The product of its (nonzero) digits is 1344, while the sum is 27.
The square root of 228117600 is about 15103.5624936635. The cubic root of 228117600 is about 611.0164902783.
It can be divided in two parts, 2281 and 17600, that added together give a square (19881 = 1412).
The spelling of 228117600 in words is "two hundred twenty-eight million, one hundred seventeen thousand, six hundred".
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