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3312022020 = 2235313135689
BaseRepresentation
bin1100010101101001…
…0111001000000100
322112211011011002020
43011122113020010
523240334201040
61304352043140
7145034502606
oct30532271004
98484134066
103312022020
11144a60618a
127852334b0
1340a231358
14235c29176
15145b79cd0
hexc5697204

3312022020 has 96 divisors (see below), whose sum is σ = 9605084160. Its totient is φ = 851834880.

The previous prime is 3312022003. The next prime is 3312022027. The reversal of 3312022020 is 202202133.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (3312022027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 579336 + ... + 585024.

It is an arithmetic number, because the mean of its divisors is an integer number (100052960).

Almost surely, 23312022020 is an apocalyptic number.

3312022020 is a gapful number since it is divisible by the number (30) 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 3312022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4802542080).

3312022020 is an abundant number, since it is smaller than the sum of its proper divisors (6293062140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3312022020 is a wasteful number, since it uses less digits than its factorization.

3312022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6045 (or 6043 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 3312022020 is about 57550.1695914095. The cubic root of 3312022020 is about 1490.6112861978.

Adding to 3312022020 its reverse (202202133), we get a palindrome (3514224153).

The spelling of 3312022020 in words is "three billion, three hundred twelve million, twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 313 372 465 620 626 930 939 1252 1565 1860 1878 3130 3756 4695 5689 6260 9390 9703 11378 17067 18780 19406 22756 28445 29109 34134 38812 48515 56890 58218 68268 85335 97030 113780 116436 145545 170670 176359 194060 291090 341340 352718 529077 582180 705436 881795 1058154 1763590 1780657 2116308 2645385 3527180 3561314 5290770 5341971 7122628 8903285 10581540 10683942 17806570 21367884 26709855 35613140 53419710 55200367 106839420 110400734 165601101 220801468 276001835 331202202 552003670 662404404 828005505 1104007340 1656011010 3312022020