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2012222412 = 223416737189
BaseRepresentation
bin111011111110000…
…0001001111001100
312012020100111020000
41313330001033030
513110112104122
6531400524300
7100602415434
oct16774011714
95166314200
102012222412
11942935532
12481a80690
13260b66665
1415135b2c4
15bb9c90ac
hex77f013cc

2012222412 has 60 divisors (see below), whose sum is σ = 5291988240. Its totient is φ = 666706464.

The previous prime is 2012222383. The next prime is 2012222447. The reversal of 2012222412 is 2142222102.

2012222412 is a `hidden beast` number, since 20 + 12 + 222 + 412 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 35514 + ... + 72702.

It is an arithmetic number, because the mean of its divisors is an integer number (88199804).

Almost surely, 22012222412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2012222412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2645994120).

2012222412 is an abundant number, since it is smaller than the sum of its proper divisors (3279765828).

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

2012222412 is a wasteful number, since it uses less digits than its factorization.

2012222412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37372 (or 37361 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2012222412 is about 44857.8021307331. The cubic root of 2012222412 is about 1262.4823850367.

Adding to 2012222412 its reverse (2142222102), we get a palindrome (4154444514).

The spelling of 2012222412 in words is "two billion, twelve million, two hundred twenty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 167 324 334 501 668 1002 1503 2004 3006 4509 6012 9018 13527 18036 27054 37189 54108 74378 111567 148756 223134 334701 446268 669402 1004103 1338804 2008206 3012309 4016412 6024618 6210563 12049236 12421126 18631689 24842252 37263378 55895067 74526756 111790134 167685201 223580268 335370402 503055603 670740804 1006111206 2012222412