Search a number
-
+
2032430166 = 232132897507
BaseRepresentation
bin111100100100100…
…0110110001010110
312020122101011001100
41321021012301112
513130300231131
6533402010530
7101236241244
oct17111066126
95218334040
102032430166
11953287958
124887a6a46
132650c0500
14153cdb794
15bd66b7e6
hex79246c56

2032430166 has 72 divisors (see below), whose sum is σ = 4822613640. Its totient is φ = 618254208.

The previous prime is 2032430159. The next prime is 2032430173. The reversal of 2032430166 is 6610342302.

It is an interprime number because it is at equal distance from previous prime (2032430159) and next prime (2032430173).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 266985 + ... + 274491.

It is an arithmetic number, because the mean of its divisors is an integer number (66980745).

Almost surely, 22032430166 is an apocalyptic number.

2032430166 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2032430166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2411306820).

2032430166 is an abundant number, since it is smaller than the sum of its proper divisors (2790183474).

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

2032430166 is a wasteful number, since it uses less digits than its factorization.

2032430166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7630 (or 7614 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 2032430166 is about 45082.4818083477. The cubic root of 2032430166 is about 1266.6944783213.

Adding to 2032430166 its reverse (6610342302), we get a palindrome (8642772468).

The spelling of 2032430166 in words is "two billion, thirty-two million, four hundred thirty thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 89 117 169 178 234 267 338 507 534 801 1014 1157 1521 1602 2314 3042 3471 6942 7507 10413 15014 15041 20826 22521 30082 45042 45123 67563 90246 97591 135126 135369 195182 270738 292773 585546 668123 878319 1268683 1336246 1756638 2004369 2537366 3806049 4008738 6013107 7612098 8685599 11418147 12026214 17371198 22836294 26056797 52113594 78170391 112912787 156340782 225825574 338738361 677476722 1016215083 2032430166