Base | Representation |
---|---|
bin | 11110110000010010… |
… | …000111111001010100 |
3 | 10011020101022021001100 |
4 | 132300102013321110 |
5 | 1020112202441040 |
6 | 23100434430100 |
7 | 2246216010105 |
oct | 366022077124 |
9 | 104211267040 |
10 | 33022312020 |
11 | 13006263865 |
12 | 6497132330 |
13 | 316358c1c9 |
14 | 18539bc3ac |
15 | cd4128b30 |
hex | 7b0487e54 |
33022312020 has 72 divisors (see below), whose sum is σ = 100255185576. Its totient is φ = 8798257152.
The previous prime is 33022312007. The next prime is 33022312039. The reversal of 33022312020 is 2021322033.
It is a happy number.
33022312020 is a `hidden beast` number, since 330 + 2 + 2 + 312 + 0 + 20 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 2247328836 + 30774983184 = 47406^2 + 175428^2 .
It is a super-2 number, since 2×330223120202 (a number of 22 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 33022311984 and 33022312002.
It is a congruent number.
It is an unprimeable number.
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 23 ways as a sum of consecutive naturals, for example, 127984 + ... + 287096.
It is an arithmetic number, because the mean of its divisors is an integer number (1392433133).
Almost surely, 233022312020 is an apocalyptic number.
33022312020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.
It is an amenable number.
33022312020 is an abundant number, since it is smaller than the sum of its proper divisors (67232873556).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
33022312020 is a wasteful number, since it uses less digits than its factorization.
33022312020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 160281 (or 160276 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 18.
Adding to 33022312020 its reverse (2021322033), we get a palindrome (35043634053).
It can be divided in two parts, 330223 and 12020, that added together give a palindrome (342243).
The spelling of 33022312020 in words is "thirty-three billion, twenty-two million, three hundred twelve thousand, twenty".
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