Base | Representation |
---|---|
bin | 1111101110101… |
… | …01011011110100 |
3 | 100012021120012100 |
4 | 13313111123310 |
5 | 232234234403 |
6 | 21032022100 |
7 | 3161344611 |
oct | 767253364 |
9 | 305246170 |
10 | 131946228 |
11 | 68531177 |
12 | 38231930 |
13 | 2144a5bb |
14 | 13749508 |
15 | b8b52a3 |
hex | 7dd56f4 |
131946228 has 36 divisors (see below), whose sum is σ = 333899748. Its totient is φ = 43933440.
The previous prime is 131946211. The next prime is 131946251. The reversal of 131946228 is 822649131.
131946228 is a `hidden beast` number, since 13 + 19 + 4 + 622 + 8 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 37234404 + 94711824 = 6102^2 + 9732^2 .
It is a tau number, because it is divible by the number of its divisors (36).
It is a super-3 number, since 3×1319462283 (a number of 25 digits) contains 333 as substring.
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 junction number, because it is equal to n+sod(n) for n = 131946192 and 131946201.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47650 + ... + 50342.
It is an arithmetic number, because the mean of its divisors is an integer number (9274993).
Almost surely, 2131946228 is an apocalyptic number.
131946228 is a gapful number since it is divisible by the number (18) formed by its first and last digit.
It is an amenable number.
131946228 is an abundant number, since it is smaller than the sum of its proper divisors (201953520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131946228 is a wasteful number, since it uses less digits than its factorization.
131946228 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4064 (or 4059 counting only the distinct ones).
The product of its digits is 20736, while the sum is 36.
The square root of 131946228 is about 11486.7849287779. The cubic root of 131946228 is about 509.0951892304.
The spelling of 131946228 in words is "one hundred thirty-one million, nine hundred forty-six thousand, two hundred twenty-eight".
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