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232442049380 = 225238920272801
BaseRepresentation
bin1101100001111010100…
…0000011001101100100
3211012222021201112211212
43120132220003031210
512302020131040010
6254440555450552
722536062551232
oct3303650031544
9735867645755
10232442049380
118a63a528062
1239070456a58
1318bc46034b8
14b3709b3952
1560a667d505
hex361ea03364

232442049380 has 96 divisors (see below), whose sum is σ = 515512408320. Its totient is φ = 87860326400.

The previous prime is 232442049361. The next prime is 232442049391. The reversal of 232442049380 is 83940244232.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82983980 + ... + 82986780.

It is an arithmetic number, because the mean of its divisors is an integer number (5369920920).

Almost surely, 2232442049380 is an apocalyptic number.

232442049380 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 232442049380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257756204160).

232442049380 is an abundant number, since it is smaller than the sum of its proper divisors (283070358940).

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

232442049380 is a wasteful number, since it uses less digits than its factorization.

232442049380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4949 (or 4947 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 41.

The spelling of 232442049380 in words is "two hundred thirty-two billion, four hundred forty-two million, forty-nine thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 23 46 89 92 115 178 230 356 445 460 890 1780 2027 2047 2801 4054 4094 5602 8108 8188 10135 10235 11204 14005 20270 20470 28010 40540 40940 46621 56020 64423 93242 128846 180403 186484 233105 249289 257692 322115 360806 466210 498578 644230 721612 902015 932420 997156 1246445 1288460 1804030 2492890 3608060 4149269 4985780 5677627 5733647 8298538 11355254 11467294 16597076 20746345 22710508 22934588 28388135 28668235 41492690 56776270 57336470 82985380 113552540 114672940 130585421 261170842 505308803 522341684 652927105 1010617606 1305854210 2021235212 2526544015 2611708420 5053088030 10106176060 11622102469 23244204938 46488409876 58110512345 116221024690 232442049380