Search a number
-
+
2132022320 = 245157199853
BaseRepresentation
bin111111100010100…
…0001010000110000
312111120202221210122
41333011001100300
513331244203240
6551320345412
7103555614341
oct17705012060
95446687718
102132022320
119a451aa1a
124b6015268
1327c92048c
141632240c8
15c72904b5
hex7f141430

2132022320 has 80 divisors (see below), whose sum is σ = 5019470400. Its totient is φ = 842130432.

The previous prime is 2132022313. The next prime is 2132022331. The reversal of 2132022320 is 232202312.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2499014 + ... + 2499866.

It is an arithmetic number, because the mean of its divisors is an integer number (62743380).

Almost surely, 22132022320 is an apocalyptic number.

2132022320 is a gapful number since it is divisible by the number (20) 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 2132022320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2509735200).

2132022320 is an abundant number, since it is smaller than the sum of its proper divisors (2887448080).

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

2132022320 is a wasteful number, since it uses less digits than its factorization.

2132022320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 2132022320 is about 46173.8272184579. The cubic root of 2132022320 is about 1287.0554234674.

Adding to 2132022320 its reverse (232202312), we get a palindrome (2364224632).

The spelling of 2132022320 in words is "two billion, one hundred thirty-two million, twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 157 199 314 398 628 785 796 853 995 1256 1570 1592 1706 1990 2512 3140 3184 3412 3980 4265 6280 6824 7960 8530 12560 13648 15920 17060 31243 34120 62486 68240 124972 133921 156215 169747 249944 267842 312430 339494 499888 535684 624860 669605 678988 848735 1071368 1249720 1339210 1357976 1697470 2142736 2499440 2678420 2715952 3394940 5356840 6789880 10713680 13579760 26650279 53300558 106601116 133251395 213202232 266502790 426404464 533005580 1066011160 2132022320