Search a number
-
+
332002231120 = 24575313618219
BaseRepresentation
bin1001101010011001110…
…00000000001101010000
31011201221210202210212101
410311030320000031100
520414420032343440
6412304132010144
732662216254610
oct4651470001520
91151853683771
10332002231120
1111888a67119a
1254416a60954
13253ccc6c741
14120d7466a40
158981e8b69a
hex4d4ce00350

332002231120 has 160 divisors (see below), whose sum is σ = 899592065280. Its totient is φ = 111585976320.

The previous prime is 332002231009. The next prime is 332002231139. The reversal of 332002231120 is 21132200233.

It is a super-2 number, since 2×3320022311202 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40390371 + ... + 40398589.

It is an arithmetic number, because the mean of its divisors is an integer number (5622450408).

Almost surely, 2332002231120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332002231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449796032640).

332002231120 is an abundant number, since it is smaller than the sum of its proper divisors (567589834160).

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

332002231120 is a wasteful number, since it uses less digits than its factorization.

332002231120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9653 (or 9647 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 332002231120 its reverse (21132200233), we get a palindrome (353134431353).

The spelling of 332002231120 in words is "three hundred thirty-two billion, two million, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 53 56 70 80 106 112 140 212 265 280 371 424 530 560 742 848 1060 1361 1484 1855 2120 2722 2968 3710 4240 5444 5936 6805 7420 8219 9527 10888 13610 14840 16438 19054 21776 27220 29680 32876 38108 41095 47635 54440 57533 65752 72133 76216 82190 95270 108880 115066 131504 144266 152432 164380 190540 230132 287665 288532 328760 360665 381080 435607 460264 504931 575330 577064 657520 721330 762160 871214 920528 1009862 1150660 1154128 1442660 1742428 2019724 2178035 2301320 2524655 2885320 3049249 3484856 4039448 4356070 4602640 5049310 5770640 6098498 6969712 8078896 8712140 10098620 11186059 12196996 15246245 17424280 20197240 22372118 24393992 30492490 34848560 40394480 44744236 48787984 55930295 60984980 78302413 89488472 111860590 121969960 156604826 178976944 223721180 243939920 313209652 391512065 447442360 592861127 626419304 783024130 894884720 1185722254 1252838608 1566048260 2371444508 2964305635 3132096520 4150027889 4742889016 5928611270 6264193040 8300055778 9485778032 11857222540 16600111556 20750139445 23714445080 33200223112 41500278890 47428890160 66400446224 83000557780 166001115560 332002231120