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33022312020 = 223251153159113
BaseRepresentation
bin11110110000010010…
…000111111001010100
310011020101022021001100
4132300102013321110
51020112202441040
623100434430100
72246216010105
oct366022077124
9104211267040
1033022312020
1113006263865
126497132330
13316358c1c9
1418539bc3ac
15cd4128b30
hex7b0487e54

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".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1153 2306 3459 4612 5765 6918 10377 11530 13836 17295 20754 23060 34590 41508 51885 69180 103770 159113 207540 318226 477339 636452 795565 954678 1432017 1591130 1909356 2386695 2864034 3182260 4773390 5728068 7160085 9546780 14320170 28640340 183457289 366914578 550371867 733829156 917286445 1100743734 1651115601 1834572890 2201487468 2751859335 3302231202 3669145780 5503718670 6604462404 8255578005 11007437340 16511156010 33022312020