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2012303232 = 27329831777
BaseRepresentation
bin111011111110001…
…0100111110000000
312012020111121002100
41313330110332000
513110122200412
6531402350400
7100603203162
oct16774247600
95166447070
102012303232
11942990225
12481abb400
13260b94394
1415137c932
15bb9e2edc
hex77f14f80

2012303232 has 96 divisors (see below), whose sum is σ = 5799764880. Its totient is φ = 669708288.

The previous prime is 2012303221. The next prime is 2012303233. The reversal of 2012303232 is 2323032102.

It is a happy number.

2012303232 is a `hidden beast` number, since 201 + 230 + 3 + 232 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012303233) 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 11 ways as a sum of consecutive naturals, for example, 1131528 + ... + 1133304.

Almost surely, 22012303232 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 2012303232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2899882440).

2012303232 is an abundant number, since it is smaller than the sum of its proper divisors (3787461648).

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

2012303232 is a wasteful number, since it uses less digits than its factorization.

2012303232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2780 (or 2765 counting only the distinct ones).

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

The square root of 2012303232 is about 44858.7029683204. The cubic root of 2012303232 is about 1262.4992871545.

Adding to 2012303232 its reverse (2323032102), we get a palindrome (4335335334).

The spelling of 2012303232 in words is "two billion, twelve million, three hundred three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 983 1152 1777 1966 2949 3554 3932 5331 5898 7108 7864 8847 10662 11796 14216 15728 15993 17694 21324 23592 28432 31456 31986 35388 42648 47184 56864 62912 63972 70776 85296 94368 113728 125824 127944 141552 170592 188736 227456 255888 283104 341184 377472 511776 566208 682368 1023552 1132416 1746791 2047104 3493582 5240373 6987164 10480746 13974328 15721119 20961492 27948656 31442238 41922984 55897312 62884476 83845968 111794624 125768952 167691936 223589248 251537904 335383872 503075808 670767744 1006151616 2012303232