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2032212312 = 23321316713001
BaseRepresentation
bin111100100100001…
…0001100101011000
312020121222002012200
41321020101211120
513130221243222
6533353210200
7101234343144
oct17110214530
95217862180
102032212312
11953149209
12488700960
132650452c0
14153c82224
15bd626eac
hex79211958

2032212312 has 96 divisors (see below), whose sum is σ = 5963237280. Its totient is φ = 621504000.

The previous prime is 2032212307. The next prime is 2032212313. The reversal of 2032212312 is 2132122302.

2032212312 is a `hidden beast` number, since 20 + 322 + 12 + 312 = 666.

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 (2032212313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149812 + ... + 162812.

It is an arithmetic number, because the mean of its divisors is an integer number (62117055).

Almost surely, 22032212312 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 2032212312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2981618640).

2032212312 is an abundant number, since it is smaller than the sum of its proper divisors (3931024968).

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

2032212312 is a wasteful number, since it uses less digits than its factorization.

2032212312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13193 (or 13186 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2032212312 is about 45080.0655722682. The cubic root of 2032212312 is about 1266.6492181653.

Adding to 2032212312 its reverse (2132122302), we get a palindrome (4164334614).

The spelling of 2032212312 in words is "two billion, thirty-two million, two hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 167 234 312 334 468 501 668 936 1002 1336 1503 2004 2171 3006 4008 4342 6012 6513 8684 12024 13001 13026 17368 19539 26002 26052 39003 39078 52004 52104 78006 78156 104008 117009 156012 156312 169013 234018 312024 338026 468036 507039 676052 936072 1014078 1352104 1521117 2028156 2171167 3042234 4056312 4342334 6084468 6513501 8684668 12168936 13027002 17369336 19540503 26054004 28225171 39081006 52108008 56450342 78162012 84675513 112900684 156324024 169351026 225801368 254026539 338702052 508053078 677404104 1016106156 2032212312