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2112200010 = 23357822963
BaseRepresentation
bin111110111100101…
…1001110101001010
312110012110212201000
41331321121311022
513311210400020
6545331435430
7103225255344
oct17571316512
95405425630
102112200010
11994311148
124ab455b76
1327879cbbb
14160744294
15c5677090
hex7de59d4a

2112200010 has 32 divisors (see below), whose sum is σ = 5632534080. Its totient is φ = 563253264.

The previous prime is 2112199979. The next prime is 2112200021. The reversal of 2112200010 is 100022112.

It is a super-2 number, since 2×21122000102 = 8922777764488000200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2112199965 and 2112200001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3911212 + ... + 3911751.

It is an arithmetic number, because the mean of its divisors is an integer number (176016690).

Almost surely, 22112200010 is an apocalyptic number.

2112200010 is an abundant number, since it is smaller than the sum of its proper divisors (3520334070).

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

2112200010 is a wasteful number, since it uses less digits than its factorization.

2112200010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7822979 (or 7822973 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2112200010 is about 45958.6772002850. The cubic root of 2112200010 is about 1283.0542319157.

Adding to 2112200010 its reverse (100022112), we get a palindrome (2212222122).

The spelling of 2112200010 in words is "two billion, one hundred twelve million, two hundred thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 7822963 15645926 23468889 39114815 46937778 70406667 78229630 117344445 140813334 211220001 234688890 352033335 422440002 704066670 1056100005 2112200010