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2010223020 = 2235136174177
BaseRepresentation
bin111011111010001…
…1001000110101100
312012002120220120110
41313310121012230
513104104114040
6531250020020
7100546420341
oct16764310654
95162526513
102010223020
1194179a343
12481277610
132606165a0
14150d9a7c8
15bb731980
hex77d191ac

2010223020 has 96 divisors (see below), whose sum is σ = 6072873408. Its totient is φ = 493903872.

The previous prime is 2010223003. The next prime is 2010223027. The reversal of 2010223020 is 203220102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2010222987 and 2010223005.

It is not an unprimeable number, because it can be changed into a prime (2010223027) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 479172 + ... + 483348.

It is an arithmetic number, because the mean of its divisors is an integer number (63259098).

Almost surely, 22010223020 is an apocalyptic number.

2010223020 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 2010223020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3036436704).

2010223020 is an abundant number, since it is smaller than the sum of its proper divisors (4062650388).

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

2010223020 is a wasteful number, since it uses less digits than its factorization.

2010223020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4819 (or 4817 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2010223020 is about 44835.5107030131. The cubic root of 2010223020 is about 1262.0641023026.

Adding to 2010223020 its reverse (203220102), we get a palindrome (2213443122).

The spelling of 2010223020 in words is "two billion, ten million, two hundred twenty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 617 780 1234 1851 2468 3085 3702 4177 6170 7404 8021 8354 9255 12340 12531 16042 16708 18510 20885 24063 25062 32084 37020 40105 41770 48126 50124 54301 62655 80210 83540 96252 108602 120315 125310 160420 162903 217204 240630 250620 271505 325806 481260 543010 651612 814515 1086020 1629030 2577209 3258060 5154418 7731627 10308836 12886045 15463254 25772090 30926508 33503717 38658135 51544180 67007434 77316270 100511151 134014868 154632540 167518585 201022302 335037170 402044604 502555755 670074340 1005111510 2010223020