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232442341120 = 2851143383923
BaseRepresentation
bin1101100001111010100…
…1001010011100000000
3211012222022021101001001
43120132221022130000
512302020214403440
6254441010021344
722536065204623
oct3303651123400
9735868241031
10232442341120
118a63a707270
1239070577854
1318bc46a6222
14b370a4bdba
1560a66d9b9a
hex361ea4a700

232442341120 has 144 divisors (see below), whose sum is σ = 621514599552. Its totient is φ = 82558586880.

The previous prime is 232442341073. The next prime is 232442341121. The reversal of 232442341120 is 21143244232.

232442341120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232442341121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 413479 + ... + 797401.

It is an arithmetic number, because the mean of its divisors is an integer number (4316073608).

Almost surely, 2232442341120 is an apocalyptic number.

232442341120 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 232442341120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310757299776).

232442341120 is an abundant number, since it is smaller than the sum of its proper divisors (389072258432).

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

232442341120 is a wasteful number, since it uses less digits than its factorization.

232442341120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383998 (or 383984 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 232442341120 its reverse (21143244232), we get a palindrome (253585585352).

The spelling of 232442341120 in words is "two hundred thirty-two billion, four hundred forty-two million, three hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 43 44 55 64 80 86 88 110 128 160 172 176 215 220 256 320 344 352 430 440 473 640 688 704 860 880 946 1280 1376 1408 1720 1760 1892 2365 2752 2816 3440 3520 3784 4730 5504 6880 7040 7568 9460 11008 13760 14080 15136 18920 27520 30272 37840 55040 60544 75680 121088 151360 302720 383923 605440 767846 1535692 1919615 3071384 3839230 4223153 6142768 7678460 8446306 12285536 15356920 16508689 16892612 21115765 24571072 30713840 33017378 33785224 42231530 49142144 61427680 66034756 67570448 82543445 84463060 98284288 122855360 132069512 135140896 165086890 168926120 181595579 245710720 264139024 270281792 330173780 337852240 363191158 491421440 528278048 540563584 660347560 675704480 726382316 907977895 1056556096 1081127168 1320695120 1351408960 1452764632 1815955790 2113112192 2641390240 2702817920 2905529264 3631911580 4226224384 5282780480 5405635840 5811058528 7263823160 10565560960 11622117056 14527646320 21131121920 23244234112 29055292640 46488468224 58110585280 116221170560 232442341120