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2032123192 = 2311731372309
BaseRepresentation
bin111100100011111…
…1011110100111000
312020121210112221221
41321013323310320
513130210420232
6533351241424
7101233522261
oct17107736470
95217715857
102032123192
11953098260
12488679274
13265013878
14153c5b968
15bd60a897
hex791fbd38

2032123192 has 64 divisors (see below), whose sum is σ = 4246149600. Its totient is φ = 903997440.

The previous prime is 2032123157. The next prime is 2032123201. The reversal of 2032123192 is 2913212302.

It is a congruent number.

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, 878934 + ... + 881242.

Almost surely, 22032123192 is an apocalyptic number.

2032123192 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2032123192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2123074800).

2032123192 is an abundant number, since it is smaller than the sum of its proper divisors (2214026408).

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

2032123192 is a wasteful number, since it uses less digits than its factorization.

2032123192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2536 (or 2532 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 2032123192 is about 45079.0770979176. The cubic root of 2032123192 is about 1266.6307021491.

Adding to 2032123192 its reverse (2913212302), we get a palindrome (4945335494).

The spelling of 2032123192 in words is "two billion, thirty-two million, one hundred twenty-three thousand, one hundred ninety-two".

Divisors: 1 2 4 8 11 22 44 73 88 137 146 274 292 548 584 803 1096 1507 1606 2309 3014 3212 4618 6028 6424 9236 10001 12056 18472 20002 25399 40004 50798 80008 101596 110011 168557 203192 220022 316333 337114 440044 632666 674228 880088 1265332 1348456 1854127 2530664 3479663 3708254 6959326 7416508 13918652 14833016 23092309 27837304 46184618 92369236 184738472 254015399 508030798 1016061596 2032123192