Search a number
-
+
2032122330 = 234571991801
BaseRepresentation
bin111100100011111…
…1011100111011010
312020121210111210000
41321013323213122
513130210403310
6533351233430
7101233516620
oct17107734732
95217714700
102032122330
11953097647
12488678876
13265013364
14153c5b510
15bd60a4c0
hex791fb9da

2032122330 has 160 divisors (see below), whose sum is σ = 6279609600. Its totient is φ = 461894400.

The previous prime is 2032122317. The next prime is 2032122349. The reversal of 2032122330 is 332212302.

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 79 ways as a sum of consecutive naturals, for example, 1127430 + ... + 1129230.

It is an arithmetic number, because the mean of its divisors is an integer number (39247560).

Almost surely, 22032122330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2032122330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3139804800).

2032122330 is an abundant number, since it is smaller than the sum of its proper divisors (4247487270).

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

2032122330 is a wasteful number, since it uses less digits than its factorization.

2032122330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2026 (or 2017 counting only the distinct ones).

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

The square root of 2032122330 is about 45079.0675369400. The cubic root of 2032122330 is about 1266.6305230530.

Adding to 2032122330 its reverse (332212302), we get a palindrome (2364334632).

The spelling of 2032122330 in words is "two billion, thirty-two million, one hundred twenty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 199 210 270 315 378 398 405 567 597 630 810 945 995 1134 1194 1393 1791 1801 1890 1990 2786 2835 2985 3582 3602 4179 5373 5403 5670 5970 6965 8358 8955 9005 10746 10806 12537 12607 13930 16119 16209 17910 18010 20895 25074 25214 26865 27015 32238 32418 37611 37821 41790 48627 53730 54030 62685 63035 75222 75642 80595 81045 97254 112833 113463 125370 126070 145881 161190 162090 188055 189105 225666 226926 243135 291762 340389 358399 376110 378210 486270 564165 567315 680778 716798 729405 1021167 1075197 1128330 1134630 1458810 1701945 1791995 2042334 2150394 2508793 3225591 3403890 3583990 5017586 5105835 5375985 6451182 7526379 9676773 10211670 10751970 12543965 15052758 16127955 19353546 22579137 25087930 29030319 32255910 37631895 45158274 48383865 58060638 67737411 75263790 96767730 112895685 135474822 145151595 203212233 225791370 290303190 338687055 406424466 677374110 1016061165 2032122330