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2012333220 = 223451242181
BaseRepresentation
bin111011111110001…
…1100010010100100
312012020120010020000
41313330130102210
513110124130340
6531403141300
7100603356462
oct16774342244
95166503200
102012333220
11942a00807
12481b14830
13260ba4c21
14151389832
15bb9ebd30
hex77f1c4a4

2012333220 has 60 divisors (see below), whose sum is σ = 6312768924. Its totient is φ = 536621760.

The previous prime is 2012333207. The next prime is 2012333249. The reversal of 2012333220 is 223332102.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 702038016 + 1310295204 = 26496^2 + 36198^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 = 2012333193 and 2012333202.

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 19 ways as a sum of consecutive naturals, for example, 619471 + ... + 622710.

Almost surely, 22012333220 is an apocalyptic number.

2012333220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012333220 is an abundant number, since it is smaller than the sum of its proper divisors (4300435704).

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

2012333220 is a wasteful number, since it uses less digits than its factorization.

2012333220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242202 (or 1242191 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2012333220 is about 44859.0372165966. The cubic root of 2012333220 is about 1262.5055585155.

Adding to 2012333220 its reverse (223332102), we get a palindrome (2235665322).

The spelling of 2012333220 in words is "two billion, twelve million, three hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 1242181 2484362 3726543 4968724 6210905 7453086 11179629 12421810 14906172 18632715 22359258 24843620 33538887 37265430 44718516 55898145 67077774 74530860 100616661 111796290 134155548 167694435 201233322 223592580 335388870 402466644 503083305 670777740 1006166610 2012333220