Search a number
-
+
2002123332 = 2234112332411
BaseRepresentation
bin111011101010101…
…1111101001000100
312011112100101220000
41313111133221010
513100020421312
6530400241300
7100420524156
oct16725375104
95145311800
102002123332
11938167990
1247a610230
1325ba3b981
1414dc8cad6
15bab81adc
hex7755fa44

2002123332 has 120 divisors (see below), whose sum is σ = 5736642912. Its totient is φ = 603849600.

The previous prime is 2002123267. The next prime is 2002123351. The reversal of 2002123332 is 2333212002.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 829207 + ... + 831617.

Almost surely, 22002123332 is an apocalyptic number.

2002123332 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 2002123332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2868321456).

2002123332 is an abundant number, since it is smaller than the sum of its proper divisors (3734519580).

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

2002123332 is a wasteful number, since it uses less digits than its factorization.

2002123332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2671 (or 2660 counting only the distinct ones).

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

The square root of 2002123332 is about 44745.0928259178. The cubic root of 2002123332 is about 1260.3667639794.

Adding to 2002123332 its reverse (2333212002), we get a palindrome (4335335334).

The spelling of 2002123332 in words is "two billion, two million, one hundred twenty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 233 297 324 396 466 594 699 891 932 1188 1398 1782 2097 2411 2563 2796 3564 4194 4822 5126 6291 7233 7689 8388 9644 10252 12582 14466 15378 18873 21699 23067 25164 26521 28932 30756 37746 43398 46134 53042 65097 69201 75492 79563 86796 92268 106084 130194 138402 159126 195291 207603 238689 260388 276804 318252 390582 415206 477378 561763 716067 781164 830412 954756 1123526 1432134 1685289 2148201 2247052 2864268 3370578 4296402 5055867 6179393 6741156 8592804 10111734 12358786 15167601 18538179 20223468 24717572 30335202 37076358 45502803 55614537 60670404 74152716 91005606 111229074 166843611 182011212 222458148 333687222 500530833 667374444 1001061666 2002123332