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2012552260 = 2256110116333
BaseRepresentation
bin111011111110101…
…0001110001000100
312012020222020200121
41313331101301010
513110203133020
6531411551324
7100605261205
oct16775216104
95166866617
102012552260
11943040334
12481bbb544
13260c50834
141514055ac
15bba41baa
hex77f51c44

2012552260 has 48 divisors (see below), whose sum is σ = 4338441072. Its totient is φ = 783936000.

The previous prime is 2012552249. The next prime is 2012552273. The reversal of 2012552260 is 622552102.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 216148804 + 1796403456 = 14702^2 + 42384^2 .

It is a super-3 number, since 3×20125522603 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 15 ways as a sum of consecutive naturals, for example, 115054 + ... + 131386.

It is an arithmetic number, because the mean of its divisors is an integer number (90384189).

Almost surely, 22012552260 is an apocalyptic number.

2012552260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012552260 is an abundant number, since it is smaller than the sum of its proper divisors (2325888812).

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

2012552260 is a wasteful number, since it uses less digits than its factorization.

2012552260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16504 (or 16502 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 2012552260 is about 44861.4785757224. The cubic root of 2012552260 is about 1262.5513642469.

The spelling of 2012552260 in words is "two billion, twelve million, five hundred fifty-two thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 61 101 122 202 244 305 404 505 610 1010 1220 2020 6161 12322 16333 24644 30805 32666 61610 65332 81665 123220 163330 326660 996313 1649633 1992626 3299266 3985252 4981565 6598532 8248165 9963130 16496330 19926260 32992660 100627613 201255226 402510452 503138065 1006276130 2012552260